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Simplifying 12 + -1(2x + 3) = 4x + 3(7 + -5x) Reorder the terms: 12 + -1(3 + 2x) = 4x + 3(7 + -5x) 12 + (3 * -1 + 2x * -1) = 4x + 3(7 + -5x) 12 + (-3 + -2x) = 4x + 3(7 + -5x) Combine like terms: 12 + -3 = 9 9 + -2x = 4x + 3(7 + -5x) 9 + -2x = 4x + (7 * 3 + -5x * 3) 9 + -2x = 4x + (21 + -15x) Reorder the terms: 9 + -2x = 21 + 4x + -15x Combine like terms: 4x + -15x = -11x 9 + -2x = 21 + -11x Solving 9 + -2x = 21 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 9 + -2x + 11x = 21 + -11x + 11x Combine like terms: -2x + 11x = 9x 9 + 9x = 21 + -11x + 11x Combine like terms: -11x + 11x = 0 9 + 9x = 21 + 0 9 + 9x = 21 Add '-9' to each side of the equation. 9 + -9 + 9x = 21 + -9 Combine like terms: 9 + -9 = 0 0 + 9x = 21 + -9 9x = 21 + -9 Combine like terms: 21 + -9 = 12 9x = 12 Divide each side by '9'. x = 1.333333333 Simplifying x = 1.333333333
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