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Simplifying -4(x + -2) = 2(-3x + 6) Reorder the terms: -4(-2 + x) = 2(-3x + 6) (-2 * -4 + x * -4) = 2(-3x + 6) (8 + -4x) = 2(-3x + 6) Reorder the terms: 8 + -4x = 2(6 + -3x) 8 + -4x = (6 * 2 + -3x * 2) 8 + -4x = (12 + -6x) Solving 8 + -4x = 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. 8 + -4x + 6x = 12 + -6x + 6x Combine like terms: -4x + 6x = 2x 8 + 2x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 2x = 12 + 0 8 + 2x = 12 Add '-8' to each side of the equation. 8 + -8 + 2x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 12 + -8 2x = 12 + -8 Combine like terms: 12 + -8 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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