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Simplifying -6(2x + -4) = 3x + -6 Reorder the terms: -6(-4 + 2x) = 3x + -6 (-4 * -6 + 2x * -6) = 3x + -6 (24 + -12x) = 3x + -6 Reorder the terms: 24 + -12x = -6 + 3x Solving 24 + -12x = -6 + 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. 24 + -12x + -3x = -6 + 3x + -3x Combine like terms: -12x + -3x = -15x 24 + -15x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + -15x = -6 + 0 24 + -15x = -6 Add '-24' to each side of the equation. 24 + -24 + -15x = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -15x = -6 + -24 -15x = -6 + -24 Combine like terms: -6 + -24 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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