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Simplifying 90 = x + 0.04(180 + -1x) 90 = x + (180 * 0.04 + -1x * 0.04) 90 = x + (7.2 + -0.04x) Reorder the terms: 90 = 7.2 + x + -0.04x Combine like terms: x + -0.04x = 0.96x 90 = 7.2 + 0.96x Solving 90 = 7.2 + 0.96x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.96x' to each side of the equation. 90 + -0.96x = 7.2 + 0.96x + -0.96x Combine like terms: 0.96x + -0.96x = 0.00 90 + -0.96x = 7.2 + 0.00 90 + -0.96x = 7.2 Add '-90' to each side of the equation. 90 + -90 + -0.96x = 7.2 + -90 Combine like terms: 90 + -90 = 0 0 + -0.96x = 7.2 + -90 -0.96x = 7.2 + -90 Combine like terms: 7.2 + -90 = -82.8 -0.96x = -82.8 Divide each side by '-0.96'. x = 86.25 Simplifying x = 86.25
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