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Simplifying -2x = 2(x + -2) + 3(x + -1) Reorder the terms: -2x = 2(-2 + x) + 3(x + -1) -2x = (-2 * 2 + x * 2) + 3(x + -1) -2x = (-4 + 2x) + 3(x + -1) Reorder the terms: -2x = -4 + 2x + 3(-1 + x) -2x = -4 + 2x + (-1 * 3 + x * 3) -2x = -4 + 2x + (-3 + 3x) Reorder the terms: -2x = -4 + -3 + 2x + 3x Combine like terms: -4 + -3 = -7 -2x = -7 + 2x + 3x Combine like terms: 2x + 3x = 5x -2x = -7 + 5x Solving -2x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2x + -5x = -7 + 5x + -5x Combine like terms: -2x + -5x = -7x -7x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -7x = -7 + 0 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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