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Simplifying 2(x + -4) = 2(2x + 5) Reorder the terms: 2(-4 + x) = 2(2x + 5) (-4 * 2 + x * 2) = 2(2x + 5) (-8 + 2x) = 2(2x + 5) Reorder the terms: -8 + 2x = 2(5 + 2x) -8 + 2x = (5 * 2 + 2x * 2) -8 + 2x = (10 + 4x) Solving -8 + 2x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 2x + -4x = 10 + 4x + -4x Combine like terms: 2x + -4x = -2x -8 + -2x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -2x = 10 + 0 -8 + -2x = 10 Add '8' to each side of the equation. -8 + 8 + -2x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 10 + 8 -2x = 10 + 8 Combine like terms: 10 + 8 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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