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Simplifying 4(x + -2) = 2(5 + -1x) Reorder the terms: 4(-2 + x) = 2(5 + -1x) (-2 * 4 + x * 4) = 2(5 + -1x) (-8 + 4x) = 2(5 + -1x) -8 + 4x = (5 * 2 + -1x * 2) -8 + 4x = (10 + -2x) Solving -8 + 4x = 10 + -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 = 10 + -2x + 2x Combine like terms: 4x + 2x = 6x -8 + 6x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 6x = 10 + 0 -8 + 6x = 10 Add '8' to each side of the equation. -8 + 8 + 6x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 10 + 8 6x = 10 + 8 Combine like terms: 10 + 8 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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