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Simplifying -3(x + -2) = 2(x + 4) + -3x Reorder the terms: -3(-2 + x) = 2(x + 4) + -3x (-2 * -3 + x * -3) = 2(x + 4) + -3x (6 + -3x) = 2(x + 4) + -3x Reorder the terms: 6 + -3x = 2(4 + x) + -3x 6 + -3x = (4 * 2 + x * 2) + -3x 6 + -3x = (8 + 2x) + -3x Combine like terms: 2x + -3x = -1x 6 + -3x = 8 + -1x Solving 6 + -3x = 8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 6 + -3x + x = 8 + -1x + x Combine like terms: -3x + x = -2x 6 + -2x = 8 + -1x + x Combine like terms: -1x + x = 0 6 + -2x = 8 + 0 6 + -2x = 8 Add '-6' to each side of the equation. 6 + -6 + -2x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 8 + -6 -2x = 8 + -6 Combine like terms: 8 + -6 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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