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Simplifying 12 + -1(2x + 5) = -2 + (x + -3) Reorder the terms: 12 + -1(5 + 2x) = -2 + (x + -3) 12 + (5 * -1 + 2x * -1) = -2 + (x + -3) 12 + (-5 + -2x) = -2 + (x + -3) Combine like terms: 12 + -5 = 7 7 + -2x = -2 + (x + -3) Reorder the terms: 7 + -2x = -2 + (-3 + x) Remove parenthesis around (-3 + x) 7 + -2x = -2 + -3 + x Combine like terms: -2 + -3 = -5 7 + -2x = -5 + x Solving 7 + -2x = -5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + -2x + -1x = -5 + x + -1x Combine like terms: -2x + -1x = -3x 7 + -3x = -5 + x + -1x Combine like terms: x + -1x = 0 7 + -3x = -5 + 0 7 + -3x = -5 Add '-7' to each side of the equation. 7 + -7 + -3x = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = -5 + -7 -3x = -5 + -7 Combine like terms: -5 + -7 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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