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Simplifying 0.15(x) + 0.20(15) = 0.18(x + 15) Multiply 0.20 * 15 0.15x + 3 = 0.18(x + 15) Reorder the terms: 3 + 0.15x = 0.18(x + 15) Reorder the terms: 3 + 0.15x = 0.18(15 + x) 3 + 0.15x = (15 * 0.18 + x * 0.18) 3 + 0.15x = (2.7 + 0.18x) Solving 3 + 0.15x = 2.7 + 0.18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.18x' to each side of the equation. 3 + 0.15x + -0.18x = 2.7 + 0.18x + -0.18x Combine like terms: 0.15x + -0.18x = -0.03x 3 + -0.03x = 2.7 + 0.18x + -0.18x Combine like terms: 0.18x + -0.18x = 0.00 3 + -0.03x = 2.7 + 0.00 3 + -0.03x = 2.7 Add '-3' to each side of the equation. 3 + -3 + -0.03x = 2.7 + -3 Combine like terms: 3 + -3 = 0 0 + -0.03x = 2.7 + -3 -0.03x = 2.7 + -3 Combine like terms: 2.7 + -3 = -0.3 -0.03x = -0.3 Divide each side by '-0.03'. x = 10 Simplifying x = 10
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