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Simplifying 2(x + -4) = 5(4 + -1x) Reorder the terms: 2(-4 + x) = 5(4 + -1x) (-4 * 2 + x * 2) = 5(4 + -1x) (-8 + 2x) = 5(4 + -1x) -8 + 2x = (4 * 5 + -1x * 5) -8 + 2x = (20 + -5x) Solving -8 + 2x = 20 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -8 + 2x + 5x = 20 + -5x + 5x Combine like terms: 2x + 5x = 7x -8 + 7x = 20 + -5x + 5x Combine like terms: -5x + 5x = 0 -8 + 7x = 20 + 0 -8 + 7x = 20 Add '8' to each side of the equation. -8 + 8 + 7x = 20 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = 20 + 8 7x = 20 + 8 Combine like terms: 20 + 8 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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