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Simplifying 0.75(5 + -2x) = 3x + -8 (5 * 0.75 + -2x * 0.75) = 3x + -8 (3.75 + -1.5x) = 3x + -8 Reorder the terms: 3.75 + -1.5x = -8 + 3x Solving 3.75 + -1.5x = -8 + 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. 3.75 + -1.5x + -3x = -8 + 3x + -3x Combine like terms: -1.5x + -3x = -4.5x 3.75 + -4.5x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 3.75 + -4.5x = -8 + 0 3.75 + -4.5x = -8 Add '-3.75' to each side of the equation. 3.75 + -3.75 + -4.5x = -8 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + -4.5x = -8 + -3.75 -4.5x = -8 + -3.75 Combine like terms: -8 + -3.75 = -11.75 -4.5x = -11.75 Divide each side by '-4.5'. x = 2.611111111 Simplifying x = 2.611111111
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