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Simplifying 12 + -1(2x + -5) = 2x + 13 Reorder the terms: 12 + -1(-5 + 2x) = 2x + 13 12 + (-5 * -1 + 2x * -1) = 2x + 13 12 + (5 + -2x) = 2x + 13 Combine like terms: 12 + 5 = 17 17 + -2x = 2x + 13 Reorder the terms: 17 + -2x = 13 + 2x Solving 17 + -2x = 13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 17 + -2x + -2x = 13 + 2x + -2x Combine like terms: -2x + -2x = -4x 17 + -4x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 17 + -4x = 13 + 0 17 + -4x = 13 Add '-17' to each side of the equation. 17 + -17 + -4x = 13 + -17 Combine like terms: 17 + -17 = 0 0 + -4x = 13 + -17 -4x = 13 + -17 Combine like terms: 13 + -17 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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