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Simplifying 12 + -1x + -10 = 2x + -12 + -5x Reorder the terms: 12 + -10 + -1x = 2x + -12 + -5x Combine like terms: 12 + -10 = 2 2 + -1x = 2x + -12 + -5x Reorder the terms: 2 + -1x = -12 + 2x + -5x Combine like terms: 2x + -5x = -3x 2 + -1x = -12 + -3x Solving 2 + -1x = -12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2 + -1x + 3x = -12 + -3x + 3x Combine like terms: -1x + 3x = 2x 2 + 2x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 2x = -12 + 0 2 + 2x = -12 Add '-2' to each side of the equation. 2 + -2 + 2x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = -12 + -2 2x = -12 + -2 Combine like terms: -12 + -2 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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