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Simplifying 2(2x + -4) = -1(3x + -5) * 0 Reorder the terms: 2(-4 + 2x) = -1(3x + -5) * 0 (-4 * 2 + 2x * 2) = -1(3x + -5) * 0 (-8 + 4x) = -1(3x + -5) * 0 Reorder the terms: -8 + 4x = -1(-5 + 3x) * 0 Reorder the terms for easier multiplication: -8 + 4x = -1 * 0(-5 + 3x) Multiply -1 * 0 -8 + 4x = 0(-5 + 3x) Anything times zero is zero. -8 + 4x = 0(-5 + 3x) Solving -8 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 4x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 0 + 8 4x = 0 + 8 Combine like terms: 0 + 8 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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