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Simplifying 0.54(24) + 0.06x = 0.18(12 + x) Multiply 0.54 * 24 12.96 + 0.06x = 0.18(12 + x) 12.96 + 0.06x = (12 * 0.18 + x * 0.18) 12.96 + 0.06x = (2.16 + 0.18x) Solving 12.96 + 0.06x = 2.16 + 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. 12.96 + 0.06x + -0.18x = 2.16 + 0.18x + -0.18x Combine like terms: 0.06x + -0.18x = -0.12x 12.96 + -0.12x = 2.16 + 0.18x + -0.18x Combine like terms: 0.18x + -0.18x = 0.00 12.96 + -0.12x = 2.16 + 0.00 12.96 + -0.12x = 2.16 Add '-12.96' to each side of the equation. 12.96 + -12.96 + -0.12x = 2.16 + -12.96 Combine like terms: 12.96 + -12.96 = 0.00 0.00 + -0.12x = 2.16 + -12.96 -0.12x = 2.16 + -12.96 Combine like terms: 2.16 + -12.96 = -10.8 -0.12x = -10.8 Divide each side by '-0.12'. x = 90 Simplifying x = 90
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