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Simplifying -2x + 12 + -3x = 5(x + -2) + 2 Reorder the terms: 12 + -2x + -3x = 5(x + -2) + 2 Combine like terms: -2x + -3x = -5x 12 + -5x = 5(x + -2) + 2 Reorder the terms: 12 + -5x = 5(-2 + x) + 2 12 + -5x = (-2 * 5 + x * 5) + 2 12 + -5x = (-10 + 5x) + 2 Reorder the terms: 12 + -5x = -10 + 2 + 5x Combine like terms: -10 + 2 = -8 12 + -5x = -8 + 5x Solving 12 + -5x = -8 + 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. 12 + -5x + -5x = -8 + 5x + -5x Combine like terms: -5x + -5x = -10x 12 + -10x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -10x = -8 + 0 12 + -10x = -8 Add '-12' to each side of the equation. 12 + -12 + -10x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -10x = -8 + -12 -10x = -8 + -12 Combine like terms: -8 + -12 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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