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Simplifying 0.30(18) + 0.05 = 0.15(12 + x) Multiply 0.30 * 18 5.4 + 0.05 = 0.15(12 + x) Combine like terms: 5.4 + 0.05 = 5.45 5.45 = 0.15(12 + x) 5.45 = (12 * 0.15 + x * 0.15) 5.45 = (1.8 + 0.15x) Solving 5.45 = 1.8 + 0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15x' to each side of the equation. 5.45 + -0.15x = 1.8 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 5.45 + -0.15x = 1.8 + 0.00 5.45 + -0.15x = 1.8 Add '-5.45' to each side of the equation. 5.45 + -5.45 + -0.15x = 1.8 + -5.45 Combine like terms: 5.45 + -5.45 = 0.00 0.00 + -0.15x = 1.8 + -5.45 -0.15x = 1.8 + -5.45 Combine like terms: 1.8 + -5.45 = -3.65 -0.15x = -3.65 Divide each side by '-0.15'. x = 24.33333333 Simplifying x = 24.33333333
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