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Simplifying 12 + -1(3x + 5) = 7(5 + -2x) Reorder the terms: 12 + -1(5 + 3x) = 7(5 + -2x) 12 + (5 * -1 + 3x * -1) = 7(5 + -2x) 12 + (-5 + -3x) = 7(5 + -2x) Combine like terms: 12 + -5 = 7 7 + -3x = 7(5 + -2x) 7 + -3x = (5 * 7 + -2x * 7) 7 + -3x = (35 + -14x) Solving 7 + -3x = 35 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 7 + -3x + 14x = 35 + -14x + 14x Combine like terms: -3x + 14x = 11x 7 + 11x = 35 + -14x + 14x Combine like terms: -14x + 14x = 0 7 + 11x = 35 + 0 7 + 11x = 35 Add '-7' to each side of the equation. 7 + -7 + 11x = 35 + -7 Combine like terms: 7 + -7 = 0 0 + 11x = 35 + -7 11x = 35 + -7 Combine like terms: 35 + -7 = 28 11x = 28 Divide each side by '11'. x = 2.545454545 Simplifying x = 2.545454545
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