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Simplifying 5(x + 2) + -1(7 + -8x) = 12x Reorder the terms: 5(2 + x) + -1(7 + -8x) = 12x (2 * 5 + x * 5) + -1(7 + -8x) = 12x (10 + 5x) + -1(7 + -8x) = 12x 10 + 5x + (7 * -1 + -8x * -1) = 12x 10 + 5x + (-7 + 8x) = 12x Reorder the terms: 10 + -7 + 5x + 8x = 12x Combine like terms: 10 + -7 = 3 3 + 5x + 8x = 12x Combine like terms: 5x + 8x = 13x 3 + 13x = 12x Solving 3 + 13x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 3 + 13x + -12x = 12x + -12x Combine like terms: 13x + -12x = 1x 3 + 1x = 12x + -12x Combine like terms: 12x + -12x = 0 3 + 1x = 0 Add '-3' to each side of the equation. 3 + -3 + 1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 0 + -3 1x = 0 + -3 Combine like terms: 0 + -3 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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