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Simplifying -6(2x + -4) = 5(3x + -6) Reorder the terms: -6(-4 + 2x) = 5(3x + -6) (-4 * -6 + 2x * -6) = 5(3x + -6) (24 + -12x) = 5(3x + -6) Reorder the terms: 24 + -12x = 5(-6 + 3x) 24 + -12x = (-6 * 5 + 3x * 5) 24 + -12x = (-30 + 15x) Solving 24 + -12x = -30 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 24 + -12x + -15x = -30 + 15x + -15x Combine like terms: -12x + -15x = -27x 24 + -27x = -30 + 15x + -15x Combine like terms: 15x + -15x = 0 24 + -27x = -30 + 0 24 + -27x = -30 Add '-24' to each side of the equation. 24 + -24 + -27x = -30 + -24 Combine like terms: 24 + -24 = 0 0 + -27x = -30 + -24 -27x = -30 + -24 Combine like terms: -30 + -24 = -54 -27x = -54 Divide each side by '-27'. x = 2 Simplifying x = 2
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