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Simplifying 0.45(24) + 0.05x = 0.15(24 + x) Multiply 0.45 * 24 10.8 + 0.05x = 0.15(24 + x) 10.8 + 0.05x = (24 * 0.15 + x * 0.15) 10.8 + 0.05x = (3.6 + 0.15x) Solving 10.8 + 0.05x = 3.6 + 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. 10.8 + 0.05x + -0.15x = 3.6 + 0.15x + -0.15x Combine like terms: 0.05x + -0.15x = -0.1x 10.8 + -0.1x = 3.6 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 10.8 + -0.1x = 3.6 + 0.00 10.8 + -0.1x = 3.6 Add '-10.8' to each side of the equation. 10.8 + -10.8 + -0.1x = 3.6 + -10.8 Combine like terms: 10.8 + -10.8 = 0.0 0.0 + -0.1x = 3.6 + -10.8 -0.1x = 3.6 + -10.8 Combine like terms: 3.6 + -10.8 = -7.2 -0.1x = -7.2 Divide each side by '-0.1'. x = 72 Simplifying x = 72
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