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Simplifying 5 + -1(3x + -4) = 3(2x + 7) + -8x Reorder the terms: 5 + -1(-4 + 3x) = 3(2x + 7) + -8x 5 + (-4 * -1 + 3x * -1) = 3(2x + 7) + -8x 5 + (4 + -3x) = 3(2x + 7) + -8x Combine like terms: 5 + 4 = 9 9 + -3x = 3(2x + 7) + -8x Reorder the terms: 9 + -3x = 3(7 + 2x) + -8x 9 + -3x = (7 * 3 + 2x * 3) + -8x 9 + -3x = (21 + 6x) + -8x Combine like terms: 6x + -8x = -2x 9 + -3x = 21 + -2x Solving 9 + -3x = 21 + -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. 9 + -3x + 2x = 21 + -2x + 2x Combine like terms: -3x + 2x = -1x 9 + -1x = 21 + -2x + 2x Combine like terms: -2x + 2x = 0 9 + -1x = 21 + 0 9 + -1x = 21 Add '-9' to each side of the equation. 9 + -9 + -1x = 21 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 21 + -9 -1x = 21 + -9 Combine like terms: 21 + -9 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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