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Simplifying 12 + -1(x + 5) = 14 + -2x Reorder the terms: 12 + -1(5 + x) = 14 + -2x 12 + (5 * -1 + x * -1) = 14 + -2x 12 + (-5 + -1x) = 14 + -2x Combine like terms: 12 + -5 = 7 7 + -1x = 14 + -2x Solving 7 + -1x = 14 + -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. 7 + -1x + 2x = 14 + -2x + 2x Combine like terms: -1x + 2x = 1x 7 + 1x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 1x = 14 + 0 7 + 1x = 14 Add '-7' to each side of the equation. 7 + -7 + 1x = 14 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 14 + -7 1x = 14 + -7 Combine like terms: 14 + -7 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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