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Simplifying 0.36(24) + 0.04 = 0.12(6 + x) Multiply 0.36 * 24 8.64 + 0.04 = 0.12(6 + x) Combine like terms: 8.64 + 0.04 = 8.68 8.68 = 0.12(6 + x) 8.68 = (6 * 0.12 + x * 0.12) 8.68 = (0.72 + 0.12x) Solving 8.68 = 0.72 + 0.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.12x' to each side of the equation. 8.68 + -0.12x = 0.72 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 8.68 + -0.12x = 0.72 + 0.00 8.68 + -0.12x = 0.72 Add '-8.68' to each side of the equation. 8.68 + -8.68 + -0.12x = 0.72 + -8.68 Combine like terms: 8.68 + -8.68 = 0.00 0.00 + -0.12x = 0.72 + -8.68 -0.12x = 0.72 + -8.68 Combine like terms: 0.72 + -8.68 = -7.96 -0.12x = -7.96 Divide each side by '-0.12'. x = 66.33333333 Simplifying x = 66.33333333
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