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Simplifying 0.24(24) + 0.06x = 0.12(24 + x) Multiply 0.24 * 24 5.76 + 0.06x = 0.12(24 + x) 5.76 + 0.06x = (24 * 0.12 + x * 0.12) 5.76 + 0.06x = (2.88 + 0.12x) Solving 5.76 + 0.06x = 2.88 + 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. 5.76 + 0.06x + -0.12x = 2.88 + 0.12x + -0.12x Combine like terms: 0.06x + -0.12x = -0.06x 5.76 + -0.06x = 2.88 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 5.76 + -0.06x = 2.88 + 0.00 5.76 + -0.06x = 2.88 Add '-5.76' to each side of the equation. 5.76 + -5.76 + -0.06x = 2.88 + -5.76 Combine like terms: 5.76 + -5.76 = 0.00 0.00 + -0.06x = 2.88 + -5.76 -0.06x = 2.88 + -5.76 Combine like terms: 2.88 + -5.76 = -2.88 -0.06x = -2.88 Divide each side by '-0.06'. x = 48 Simplifying x = 48
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