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Simplifying 4 + -1(3x + 2) = 2(x + 6) Reorder the terms: 4 + -1(2 + 3x) = 2(x + 6) 4 + (2 * -1 + 3x * -1) = 2(x + 6) 4 + (-2 + -3x) = 2(x + 6) Combine like terms: 4 + -2 = 2 2 + -3x = 2(x + 6) Reorder the terms: 2 + -3x = 2(6 + x) 2 + -3x = (6 * 2 + x * 2) 2 + -3x = (12 + 2x) Solving 2 + -3x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 2 + -3x + -2x = 12 + 2x + -2x Combine like terms: -3x + -2x = -5x 2 + -5x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + -5x = 12 + 0 2 + -5x = 12 Add '-2' to each side of the equation. 2 + -2 + -5x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 12 + -2 -5x = 12 + -2 Combine like terms: 12 + -2 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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