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Simplifying (7 + -1x)(7 + -1x) + (14 + -1x)(7 + -2x) = (21 + -1x)(87 + -3x) Multiply (7 + -1x) * (7 + -1x) (7(7 + -1x) + -1x * (7 + -1x)) + (14 + -1x)(7 + -2x) = (21 + -1x)(87 + -3x) ((7 * 7 + -1x * 7) + -1x * (7 + -1x)) + (14 + -1x)(7 + -2x) = (21 + -1x)(87 + -3x) ((49 + -7x) + -1x * (7 + -1x)) + (14 + -1x)(7 + -2x) = (21 + -1x)(87 + -3x) (49 + -7x + (7 * -1x + -1x * -1x)) + (14 + -1x)(7 + -2x) = (21 + -1x)(87 + -3x) (49 + -7x + (-7x + 1x2)) + (14 + -1x)(7 + -2x) = (21 + -1x)(87 + -3x) Combine like terms: -7x + -7x = -14x (49 + -14x + 1x2) + (14 + -1x)(7 + -2x) = (21 + -1x)(87 + -3x) Multiply (14 + -1x) * (7 + -2x) 49 + -14x + 1x2 + (14(7 + -2x) + -1x * (7 + -2x)) = (21 + -1x)(87 + -3x) 49 + -14x + 1x2 + ((7 * 14 + -2x * 14) + -1x * (7 + -2x)) = (21 + -1x)(87 + -3x) 49 + -14x + 1x2 + ((98 + -28x) + -1x * (7 + -2x)) = (21 + -1x)(87 + -3x) 49 + -14x + 1x2 + (98 + -28x + (7 * -1x + -2x * -1x)) = (21 + -1x)(87 + -3x) 49 + -14x + 1x2 + (98 + -28x + (-7x + 2x2)) = (21 + -1x)(87 + -3x) Combine like terms: -28x + -7x = -35x 49 + -14x + 1x2 + (98 + -35x + 2x2) = (21 + -1x)(87 + -3x) Reorder the terms: 49 + 98 + -14x + -35x + 1x2 + 2x2 = (21 + -1x)(87 + -3x) Combine like terms: 49 + 98 = 147 147 + -14x + -35x + 1x2 + 2x2 = (21 + -1x)(87 + -3x) Combine like terms: -14x + -35x = -49x 147 + -49x + 1x2 + 2x2 = (21 + -1x)(87 + -3x) Combine like terms: 1x2 + 2x2 = 3x2 147 + -49x + 3x2 = (21 + -1x)(87 + -3x) Multiply (21 + -1x) * (87 + -3x) 147 + -49x + 3x2 = (21(87 + -3x) + -1x * (87 + -3x)) 147 + -49x + 3x2 = ((87 * 21 + -3x * 21) + -1x * (87 + -3x)) 147 + -49x + 3x2 = ((1827 + -63x) + -1x * (87 + -3x)) 147 + -49x + 3x2 = (1827 + -63x + (87 * -1x + -3x * -1x)) 147 + -49x + 3x2 = (1827 + -63x + (-87x + 3x2)) Combine like terms: -63x + -87x = -150x 147 + -49x + 3x2 = (1827 + -150x + 3x2) Add '-3x2' to each side of the equation. 147 + -49x + 3x2 + -3x2 = 1827 + -150x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 147 + -49x + 0 = 1827 + -150x + 3x2 + -3x2 147 + -49x = 1827 + -150x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 147 + -49x = 1827 + -150x + 0 147 + -49x = 1827 + -150x Solving 147 + -49x = 1827 + -150x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '150x' to each side of the equation. 147 + -49x + 150x = 1827 + -150x + 150x Combine like terms: -49x + 150x = 101x 147 + 101x = 1827 + -150x + 150x Combine like terms: -150x + 150x = 0 147 + 101x = 1827 + 0 147 + 101x = 1827 Add '-147' to each side of the equation. 147 + -147 + 101x = 1827 + -147 Combine like terms: 147 + -147 = 0 0 + 101x = 1827 + -147 101x = 1827 + -147 Combine like terms: 1827 + -147 = 1680 101x = 1680 Divide each side by '101'. x = 16.63366337 Simplifying x = 16.63366337
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