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Simplifying 7 + -1(5 + 2x) = 5x + -12 7 + (5 * -1 + 2x * -1) = 5x + -12 7 + (-5 + -2x) = 5x + -12 Combine like terms: 7 + -5 = 2 2 + -2x = 5x + -12 Reorder the terms: 2 + -2x = -12 + 5x Solving 2 + -2x = -12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + -2x + -5x = -12 + 5x + -5x Combine like terms: -2x + -5x = -7x 2 + -7x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -7x = -12 + 0 2 + -7x = -12 Add '-2' to each side of the equation. 2 + -2 + -7x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = -12 + -2 -7x = -12 + -2 Combine like terms: -12 + -2 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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