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Simplifying 7(x + 26 + 2x) = 5(x + 7) Reorder the terms: 7(26 + x + 2x) = 5(x + 7) Combine like terms: x + 2x = 3x 7(26 + 3x) = 5(x + 7) (26 * 7 + 3x * 7) = 5(x + 7) (182 + 21x) = 5(x + 7) Reorder the terms: 182 + 21x = 5(7 + x) 182 + 21x = (7 * 5 + x * 5) 182 + 21x = (35 + 5x) Solving 182 + 21x = 35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 182 + 21x + -5x = 35 + 5x + -5x Combine like terms: 21x + -5x = 16x 182 + 16x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 182 + 16x = 35 + 0 182 + 16x = 35 Add '-182' to each side of the equation. 182 + -182 + 16x = 35 + -182 Combine like terms: 182 + -182 = 0 0 + 16x = 35 + -182 16x = 35 + -182 Combine like terms: 35 + -182 = -147 16x = -147 Divide each side by '16'. x = -9.1875 Simplifying x = -9.1875
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