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Simplifying -5x + 2(x + -1) = -12 + 2x Reorder the terms: -5x + 2(-1 + x) = -12 + 2x -5x + (-1 * 2 + x * 2) = -12 + 2x -5x + (-2 + 2x) = -12 + 2x Reorder the terms: -2 + -5x + 2x = -12 + 2x Combine like terms: -5x + 2x = -3x -2 + -3x = -12 + 2x Solving -2 + -3x = -12 + 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. -2 + -3x + -2x = -12 + 2x + -2x Combine like terms: -3x + -2x = -5x -2 + -5x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -5x = -12 + 0 -2 + -5x = -12 Add '2' to each side of the equation. -2 + 2 + -5x = -12 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = -12 + 2 -5x = -12 + 2 Combine like terms: -12 + 2 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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