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Simplifying 0.45(24) + 0.05x = 0.14(12 + x) Multiply 0.45 * 24 10.8 + 0.05x = 0.14(12 + x) 10.8 + 0.05x = (12 * 0.14 + x * 0.14) 10.8 + 0.05x = (1.68 + 0.14x) Solving 10.8 + 0.05x = 1.68 + 0.14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.14x' to each side of the equation. 10.8 + 0.05x + -0.14x = 1.68 + 0.14x + -0.14x Combine like terms: 0.05x + -0.14x = -0.09x 10.8 + -0.09x = 1.68 + 0.14x + -0.14x Combine like terms: 0.14x + -0.14x = 0.00 10.8 + -0.09x = 1.68 + 0.00 10.8 + -0.09x = 1.68 Add '-10.8' to each side of the equation. 10.8 + -10.8 + -0.09x = 1.68 + -10.8 Combine like terms: 10.8 + -10.8 = 0.0 0.0 + -0.09x = 1.68 + -10.8 -0.09x = 1.68 + -10.8 Combine like terms: 1.68 + -10.8 = -9.12 -0.09x = -9.12 Divide each side by '-0.09'. x = 101.3333333 Simplifying x = 101.3333333
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