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Simplifying 0.36(24) + 0.06x = 0.12(24 + x) Multiply 0.36 * 24 8.64 + 0.06x = 0.12(24 + x) 8.64 + 0.06x = (24 * 0.12 + x * 0.12) 8.64 + 0.06x = (2.88 + 0.12x) Solving 8.64 + 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. 8.64 + 0.06x + -0.12x = 2.88 + 0.12x + -0.12x Combine like terms: 0.06x + -0.12x = -0.06x 8.64 + -0.06x = 2.88 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 8.64 + -0.06x = 2.88 + 0.00 8.64 + -0.06x = 2.88 Add '-8.64' to each side of the equation. 8.64 + -8.64 + -0.06x = 2.88 + -8.64 Combine like terms: 8.64 + -8.64 = 0.00 0.00 + -0.06x = 2.88 + -8.64 -0.06x = 2.88 + -8.64 Combine like terms: 2.88 + -8.64 = -5.76 -0.06x = -5.76 Divide each side by '-0.06'. x = 96 Simplifying x = 96
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