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Simplifying 3(2x + 12) + -6 = 14 + -1(3x + 11) Reorder the terms: 3(12 + 2x) + -6 = 14 + -1(3x + 11) (12 * 3 + 2x * 3) + -6 = 14 + -1(3x + 11) (36 + 6x) + -6 = 14 + -1(3x + 11) Reorder the terms: 36 + -6 + 6x = 14 + -1(3x + 11) Combine like terms: 36 + -6 = 30 30 + 6x = 14 + -1(3x + 11) Reorder the terms: 30 + 6x = 14 + -1(11 + 3x) 30 + 6x = 14 + (11 * -1 + 3x * -1) 30 + 6x = 14 + (-11 + -3x) Combine like terms: 14 + -11 = 3 30 + 6x = 3 + -3x Solving 30 + 6x = 3 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 30 + 6x + 3x = 3 + -3x + 3x Combine like terms: 6x + 3x = 9x 30 + 9x = 3 + -3x + 3x Combine like terms: -3x + 3x = 0 30 + 9x = 3 + 0 30 + 9x = 3 Add '-30' to each side of the equation. 30 + -30 + 9x = 3 + -30 Combine like terms: 30 + -30 = 0 0 + 9x = 3 + -30 9x = 3 + -30 Combine like terms: 3 + -30 = -27 9x = -27 Divide each side by '9'. x = -3 Simplifying x = -3
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