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Simplifying 0.45(12) + 0.05x = 0.15(18 + x) Multiply 0.45 * 12 5.4 + 0.05x = 0.15(18 + x) 5.4 + 0.05x = (18 * 0.15 + x * 0.15) 5.4 + 0.05x = (2.7 + 0.15x) Solving 5.4 + 0.05x = 2.7 + 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. 5.4 + 0.05x + -0.15x = 2.7 + 0.15x + -0.15x Combine like terms: 0.05x + -0.15x = -0.1x 5.4 + -0.1x = 2.7 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 5.4 + -0.1x = 2.7 + 0.00 5.4 + -0.1x = 2.7 Add '-5.4' to each side of the equation. 5.4 + -5.4 + -0.1x = 2.7 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + -0.1x = 2.7 + -5.4 -0.1x = 2.7 + -5.4 Combine like terms: 2.7 + -5.4 = -2.7 -0.1x = -2.7 Divide each side by '-0.1'. x = 27 Simplifying x = 27
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