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Simplifying 12 + -1(7x + -11) = 3(5 + -3x) Reorder the terms: 12 + -1(-11 + 7x) = 3(5 + -3x) 12 + (-11 * -1 + 7x * -1) = 3(5 + -3x) 12 + (11 + -7x) = 3(5 + -3x) Combine like terms: 12 + 11 = 23 23 + -7x = 3(5 + -3x) 23 + -7x = (5 * 3 + -3x * 3) 23 + -7x = (15 + -9x) Solving 23 + -7x = 15 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 23 + -7x + 9x = 15 + -9x + 9x Combine like terms: -7x + 9x = 2x 23 + 2x = 15 + -9x + 9x Combine like terms: -9x + 9x = 0 23 + 2x = 15 + 0 23 + 2x = 15 Add '-23' to each side of the equation. 23 + -23 + 2x = 15 + -23 Combine like terms: 23 + -23 = 0 0 + 2x = 15 + -23 2x = 15 + -23 Combine like terms: 15 + -23 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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