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Simplifying 2 + -3(x + -4) = 9 + -1(3 + 2x) Reorder the terms: 2 + -3(-4 + x) = 9 + -1(3 + 2x) 2 + (-4 * -3 + x * -3) = 9 + -1(3 + 2x) 2 + (12 + -3x) = 9 + -1(3 + 2x) Combine like terms: 2 + 12 = 14 14 + -3x = 9 + -1(3 + 2x) 14 + -3x = 9 + (3 * -1 + 2x * -1) 14 + -3x = 9 + (-3 + -2x) Combine like terms: 9 + -3 = 6 14 + -3x = 6 + -2x Solving 14 + -3x = 6 + -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. 14 + -3x + 2x = 6 + -2x + 2x Combine like terms: -3x + 2x = -1x 14 + -1x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 14 + -1x = 6 + 0 14 + -1x = 6 Add '-14' to each side of the equation. 14 + -14 + -1x = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 6 + -14 -1x = 6 + -14 Combine like terms: 6 + -14 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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