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Simplifying 0.15(90) + 0.05x = 0.1(90 + x) Multiply 0.15 * 90 13.5 + 0.05x = 0.1(90 + x) 13.5 + 0.05x = (90 * 0.1 + x * 0.1) 13.5 + 0.05x = (9 + 0.1x) Solving 13.5 + 0.05x = 9 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 13.5 + 0.05x + -0.1x = 9 + 0.1x + -0.1x Combine like terms: 0.05x + -0.1x = -0.05x 13.5 + -0.05x = 9 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 13.5 + -0.05x = 9 + 0.0 13.5 + -0.05x = 9 Add '-13.5' to each side of the equation. 13.5 + -13.5 + -0.05x = 9 + -13.5 Combine like terms: 13.5 + -13.5 = 0.0 0.0 + -0.05x = 9 + -13.5 -0.05x = 9 + -13.5 Combine like terms: 9 + -13.5 = -4.5 -0.05x = -4.5 Divide each side by '-0.05'. x = 90 Simplifying x = 90
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