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Simplifying 0.75(-16 + -8x) = 0.5(16 + -20x) (-16 * 0.75 + -8x * 0.75) = 0.5(16 + -20x) (-12 + -6x) = 0.5(16 + -20x) -12 + -6x = (16 * 0.5 + -20x * 0.5) -12 + -6x = (8 + -10x) Solving -12 + -6x = 8 + -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. -12 + -6x + 10x = 8 + -10x + 10x Combine like terms: -6x + 10x = 4x -12 + 4x = 8 + -10x + 10x Combine like terms: -10x + 10x = 0 -12 + 4x = 8 + 0 -12 + 4x = 8 Add '12' to each side of the equation. -12 + 12 + 4x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 8 + 12 4x = 8 + 12 Combine like terms: 8 + 12 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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