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Simplifying (37.5 + 10x) + -1(-0.5x + 20x) = 0 Remove parenthesis around (37.5 + 10x) 37.5 + 10x + -1(-0.5x + 20x) = 0 Combine like terms: -0.5x + 20x = 19.5x 37.5 + 10x + -1(19.5x) = 0 Remove parenthesis around (19.5x) 37.5 + 10x + -1 * 19.5x = 0 Multiply -1 * 19.5 37.5 + 10x + -19.5x = 0 Combine like terms: 10x + -19.5x = -9.5x 37.5 + -9.5x = 0 Solving 37.5 + -9.5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37.5' to each side of the equation. 37.5 + -37.5 + -9.5x = 0 + -37.5 Combine like terms: 37.5 + -37.5 = 0.0 0.0 + -9.5x = 0 + -37.5 -9.5x = 0 + -37.5 Combine like terms: 0 + -37.5 = -37.5 -9.5x = -37.5 Divide each side by '-9.5'. x = 3.947368421 Simplifying x = 3.947368421
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