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Simplifying 4x + -1(3x + -6) = 2(3x + -6) Reorder the terms: 4x + -1(-6 + 3x) = 2(3x + -6) 4x + (-6 * -1 + 3x * -1) = 2(3x + -6) 4x + (6 + -3x) = 2(3x + -6) Reorder the terms: 6 + 4x + -3x = 2(3x + -6) Combine like terms: 4x + -3x = 1x 6 + 1x = 2(3x + -6) Reorder the terms: 6 + 1x = 2(-6 + 3x) 6 + 1x = (-6 * 2 + 3x * 2) 6 + 1x = (-12 + 6x) Solving 6 + 1x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + 1x + -6x = -12 + 6x + -6x Combine like terms: 1x + -6x = -5x 6 + -5x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -5x = -12 + 0 6 + -5x = -12 Add '-6' to each side of the equation. 6 + -6 + -5x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = -12 + -6 -5x = -12 + -6 Combine like terms: -12 + -6 = -18 -5x = -18 Divide each side by '-5'. x = 3.6 Simplifying x = 3.6
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