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