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Simplifying -2x + 9 = 3(x + -2) Reorder the terms: 9 + -2x = 3(x + -2) Reorder the terms: 9 + -2x = 3(-2 + x) 9 + -2x = (-2 * 3 + x * 3) 9 + -2x = (-6 + 3x) Solving 9 + -2x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 9 + -2x + -3x = -6 + 3x + -3x Combine like terms: -2x + -3x = -5x 9 + -5x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + -5x = -6 + 0 9 + -5x = -6 Add '-9' to each side of the equation. 9 + -9 + -5x = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = -6 + -9 -5x = -6 + -9 Combine like terms: -6 + -9 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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