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