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Simplifying 0.36(24) + 0.06x = 0.18(18 + x) Multiply 0.36 * 24 8.64 + 0.06x = 0.18(18 + x) 8.64 + 0.06x = (18 * 0.18 + x * 0.18) 8.64 + 0.06x = (3.24 + 0.18x) Solving 8.64 + 0.06x = 3.24 + 0.18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.18x' to each side of the equation. 8.64 + 0.06x + -0.18x = 3.24 + 0.18x + -0.18x Combine like terms: 0.06x + -0.18x = -0.12x 8.64 + -0.12x = 3.24 + 0.18x + -0.18x Combine like terms: 0.18x + -0.18x = 0.00 8.64 + -0.12x = 3.24 + 0.00 8.64 + -0.12x = 3.24 Add '-8.64' to each side of the equation. 8.64 + -8.64 + -0.12x = 3.24 + -8.64 Combine like terms: 8.64 + -8.64 = 0.00 0.00 + -0.12x = 3.24 + -8.64 -0.12x = 3.24 + -8.64 Combine like terms: 3.24 + -8.64 = -5.4 -0.12x = -5.4 Divide each side by '-0.12'. x = 45 Simplifying x = 45
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