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Simplifying 2(3x + -1(4x + -6)) = 5(x + -6) Reorder the terms: 2(3x + -1(-6 + 4x)) = 5(x + -6) 2(3x + (-6 * -1 + 4x * -1)) = 5(x + -6) 2(3x + (6 + -4x)) = 5(x + -6) Reorder the terms: 2(6 + 3x + -4x) = 5(x + -6) Combine like terms: 3x + -4x = -1x 2(6 + -1x) = 5(x + -6) (6 * 2 + -1x * 2) = 5(x + -6) (12 + -2x) = 5(x + -6) Reorder the terms: 12 + -2x = 5(-6 + x) 12 + -2x = (-6 * 5 + x * 5) 12 + -2x = (-30 + 5x) Solving 12 + -2x = -30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + -2x + -5x = -30 + 5x + -5x Combine like terms: -2x + -5x = -7x 12 + -7x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -7x = -30 + 0 12 + -7x = -30 Add '-12' to each side of the equation. 12 + -12 + -7x = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = -30 + -12 -7x = -30 + -12 Combine like terms: -30 + -12 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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