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Simplifying 3(4x + -7) + 7(x + 4) = 3(x + 7) + -1(x + 2) Reorder the terms: 3(-7 + 4x) + 7(x + 4) = 3(x + 7) + -1(x + 2) (-7 * 3 + 4x * 3) + 7(x + 4) = 3(x + 7) + -1(x + 2) (-21 + 12x) + 7(x + 4) = 3(x + 7) + -1(x + 2) Reorder the terms: -21 + 12x + 7(4 + x) = 3(x + 7) + -1(x + 2) -21 + 12x + (4 * 7 + x * 7) = 3(x + 7) + -1(x + 2) -21 + 12x + (28 + 7x) = 3(x + 7) + -1(x + 2) Reorder the terms: -21 + 28 + 12x + 7x = 3(x + 7) + -1(x + 2) Combine like terms: -21 + 28 = 7 7 + 12x + 7x = 3(x + 7) + -1(x + 2) Combine like terms: 12x + 7x = 19x 7 + 19x = 3(x + 7) + -1(x + 2) Reorder the terms: 7 + 19x = 3(7 + x) + -1(x + 2) 7 + 19x = (7 * 3 + x * 3) + -1(x + 2) 7 + 19x = (21 + 3x) + -1(x + 2) Reorder the terms: 7 + 19x = 21 + 3x + -1(2 + x) 7 + 19x = 21 + 3x + (2 * -1 + x * -1) 7 + 19x = 21 + 3x + (-2 + -1x) Reorder the terms: 7 + 19x = 21 + -2 + 3x + -1x Combine like terms: 21 + -2 = 19 7 + 19x = 19 + 3x + -1x Combine like terms: 3x + -1x = 2x 7 + 19x = 19 + 2x Solving 7 + 19x = 19 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + 19x + -2x = 19 + 2x + -2x Combine like terms: 19x + -2x = 17x 7 + 17x = 19 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 17x = 19 + 0 7 + 17x = 19 Add '-7' to each side of the equation. 7 + -7 + 17x = 19 + -7 Combine like terms: 7 + -7 = 0 0 + 17x = 19 + -7 17x = 19 + -7 Combine like terms: 19 + -7 = 12 17x = 12 Divide each side by '17'. x = 0.7058823529 Simplifying x = 0.7058823529
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