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Simplifying 12 + -1(3x + 10) = 7(5 + -2x) Reorder the terms: 12 + -1(10 + 3x) = 7(5 + -2x) 12 + (10 * -1 + 3x * -1) = 7(5 + -2x) 12 + (-10 + -3x) = 7(5 + -2x) Combine like terms: 12 + -10 = 2 2 + -3x = 7(5 + -2x) 2 + -3x = (5 * 7 + -2x * 7) 2 + -3x = (35 + -14x) Solving 2 + -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. 2 + -3x + 14x = 35 + -14x + 14x Combine like terms: -3x + 14x = 11x 2 + 11x = 35 + -14x + 14x Combine like terms: -14x + 14x = 0 2 + 11x = 35 + 0 2 + 11x = 35 Add '-2' to each side of the equation. 2 + -2 + 11x = 35 + -2 Combine like terms: 2 + -2 = 0 0 + 11x = 35 + -2 11x = 35 + -2 Combine like terms: 35 + -2 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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