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Simplifying 12 + -1(x + 3) = 2x + (-5 + x) Reorder the terms: 12 + -1(3 + x) = 2x + (-5 + x) 12 + (3 * -1 + x * -1) = 2x + (-5 + x) 12 + (-3 + -1x) = 2x + (-5 + x) Combine like terms: 12 + -3 = 9 9 + -1x = 2x + (-5 + x) Remove parenthesis around (-5 + x) 9 + -1x = 2x + -5 + x Reorder the terms: 9 + -1x = -5 + 2x + x Combine like terms: 2x + x = 3x 9 + -1x = -5 + 3x Solving 9 + -1x = -5 + 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. 9 + -1x + -3x = -5 + 3x + -3x Combine like terms: -1x + -3x = -4x 9 + -4x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + -4x = -5 + 0 9 + -4x = -5 Add '-9' to each side of the equation. 9 + -9 + -4x = -5 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = -5 + -9 -4x = -5 + -9 Combine like terms: -5 + -9 = -14 -4x = -14 Divide each side by '-4'. x = 3.5 Simplifying x = 3.5
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