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Simplifying 4(2 + -1x) = 2(-1x + -2) (2 * 4 + -1x * 4) = 2(-1x + -2) (8 + -4x) = 2(-1x + -2) Reorder the terms: 8 + -4x = 2(-2 + -1x) 8 + -4x = (-2 * 2 + -1x * 2) 8 + -4x = (-4 + -2x) Solving 8 + -4x = -4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 8 + -4x + 2x = -4 + -2x + 2x Combine like terms: -4x + 2x = -2x 8 + -2x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + -2x = -4 + 0 8 + -2x = -4 Add '-8' to each side of the equation. 8 + -8 + -2x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -4 + -8 -2x = -4 + -8 Combine like terms: -4 + -8 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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