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