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Simplifying -0.5(10x + 12) = -1(40x + -64) Reorder the terms: -0.5(12 + 10x) = -1(40x + -64) (12 * -0.5 + 10x * -0.5) = -1(40x + -64) (-6 + -5x) = -1(40x + -64) Reorder the terms: -6 + -5x = -1(-64 + 40x) -6 + -5x = (-64 * -1 + 40x * -1) -6 + -5x = (64 + -40x) Solving -6 + -5x = 64 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. -6 + -5x + 40x = 64 + -40x + 40x Combine like terms: -5x + 40x = 35x -6 + 35x = 64 + -40x + 40x Combine like terms: -40x + 40x = 0 -6 + 35x = 64 + 0 -6 + 35x = 64 Add '6' to each side of the equation. -6 + 6 + 35x = 64 + 6 Combine like terms: -6 + 6 = 0 0 + 35x = 64 + 6 35x = 64 + 6 Combine like terms: 64 + 6 = 70 35x = 70 Divide each side by '35'. x = 2 Simplifying x = 2
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