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Simplifying 2(x + -4) = -1(2x + -8) Reorder the terms: 2(-4 + x) = -1(2x + -8) (-4 * 2 + x * 2) = -1(2x + -8) (-8 + 2x) = -1(2x + -8) Reorder the terms: -8 + 2x = -1(-8 + 2x) -8 + 2x = (-8 * -1 + 2x * -1) -8 + 2x = (8 + -2x) Solving -8 + 2x = 8 + -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 + 2x + 2x = 8 + -2x + 2x Combine like terms: 2x + 2x = 4x -8 + 4x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 4x = 8 + 0 -8 + 4x = 8 Add '8' to each side of the equation. -8 + 8 + 4x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 8 + 8 4x = 8 + 8 Combine like terms: 8 + 8 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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