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Simplifying 0.5(3x + -15) = 0.75(8 + -1x * 4) Reorder the terms: 0.5(-15 + 3x) = 0.75(8 + -1x * 4) (-15 * 0.5 + 3x * 0.5) = 0.75(8 + -1x * 4) (-7.5 + 1.5x) = 0.75(8 + -1x * 4) Reorder the terms for easier multiplication: -7.5 + 1.5x = 0.75(8 + -1 * 4x) Multiply -1 * 4 -7.5 + 1.5x = 0.75(8 + -4x) -7.5 + 1.5x = (8 * 0.75 + -4x * 0.75) -7.5 + 1.5x = (6 + -3x) Solving -7.5 + 1.5x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -7.5 + 1.5x + 3x = 6 + -3x + 3x Combine like terms: 1.5x + 3x = 4.5x -7.5 + 4.5x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -7.5 + 4.5x = 6 + 0 -7.5 + 4.5x = 6 Add '7.5' to each side of the equation. -7.5 + 7.5 + 4.5x = 6 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + 4.5x = 6 + 7.5 4.5x = 6 + 7.5 Combine like terms: 6 + 7.5 = 13.5 4.5x = 13.5 Divide each side by '4.5'. x = 3 Simplifying x = 3
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