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Simplifying 4(5x + -8) = 2(5x + -6) Reorder the terms: 4(-8 + 5x) = 2(5x + -6) (-8 * 4 + 5x * 4) = 2(5x + -6) (-32 + 20x) = 2(5x + -6) Reorder the terms: -32 + 20x = 2(-6 + 5x) -32 + 20x = (-6 * 2 + 5x * 2) -32 + 20x = (-12 + 10x) Solving -32 + 20x = -12 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -32 + 20x + -10x = -12 + 10x + -10x Combine like terms: 20x + -10x = 10x -32 + 10x = -12 + 10x + -10x Combine like terms: 10x + -10x = 0 -32 + 10x = -12 + 0 -32 + 10x = -12 Add '32' to each side of the equation. -32 + 32 + 10x = -12 + 32 Combine like terms: -32 + 32 = 0 0 + 10x = -12 + 32 10x = -12 + 32 Combine like terms: -12 + 32 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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