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Simplifying 0.3(30) + 0.15 = 0.2(30 + x) Multiply 0.3 * 30 9 + 0.15 = 0.2(30 + x) Combine like terms: 9 + 0.15 = 9.15 9.15 = 0.2(30 + x) 9.15 = (30 * 0.2 + x * 0.2) 9.15 = (6 + 0.2x) Solving 9.15 = 6 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 9.15 + -0.2x = 6 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 9.15 + -0.2x = 6 + 0.0 9.15 + -0.2x = 6 Add '-9.15' to each side of the equation. 9.15 + -9.15 + -0.2x = 6 + -9.15 Combine like terms: 9.15 + -9.15 = 0.00 0.00 + -0.2x = 6 + -9.15 -0.2x = 6 + -9.15 Combine like terms: 6 + -9.15 = -3.15 -0.2x = -3.15 Divide each side by '-0.2'. x = 15.75 Simplifying x = 15.75
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