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Simplifying x + -2x + 12 + -3x = -5(x + -2) + 2 Reorder the terms: 12 + x + -2x + -3x = -5(x + -2) + 2 Combine like terms: x + -2x = -1x 12 + -1x + -3x = -5(x + -2) + 2 Combine like terms: -1x + -3x = -4x 12 + -4x = -5(x + -2) + 2 Reorder the terms: 12 + -4x = -5(-2 + x) + 2 12 + -4x = (-2 * -5 + x * -5) + 2 12 + -4x = (10 + -5x) + 2 Reorder the terms: 12 + -4x = 10 + 2 + -5x Combine like terms: 10 + 2 = 12 12 + -4x = 12 + -5x Add '-12' to each side of the equation. 12 + -12 + -4x = 12 + -12 + -5x Combine like terms: 12 + -12 = 0 0 + -4x = 12 + -12 + -5x -4x = 12 + -12 + -5x Combine like terms: 12 + -12 = 0 -4x = 0 + -5x -4x = -5x Solving -4x = -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. -4x + 5x = -5x + 5x Combine like terms: -4x + 5x = 1x 1x = -5x + 5x Combine like terms: -5x + 5x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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