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Simplifying -6(2x + -2) = 4(-4x + 6) Reorder the terms: -6(-2 + 2x) = 4(-4x + 6) (-2 * -6 + 2x * -6) = 4(-4x + 6) (12 + -12x) = 4(-4x + 6) Reorder the terms: 12 + -12x = 4(6 + -4x) 12 + -12x = (6 * 4 + -4x * 4) 12 + -12x = (24 + -16x) Solving 12 + -12x = 24 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 12 + -12x + 16x = 24 + -16x + 16x Combine like terms: -12x + 16x = 4x 12 + 4x = 24 + -16x + 16x Combine like terms: -16x + 16x = 0 12 + 4x = 24 + 0 12 + 4x = 24 Add '-12' to each side of the equation. 12 + -12 + 4x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 24 + -12 4x = 24 + -12 Combine like terms: 24 + -12 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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