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Simplifying 0.18(24) + 0.03x = 0.09(18 + x) Multiply 0.18 * 24 4.32 + 0.03x = 0.09(18 + x) 4.32 + 0.03x = (18 * 0.09 + x * 0.09) 4.32 + 0.03x = (1.62 + 0.09x) Solving 4.32 + 0.03x = 1.62 + 0.09x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.09x' to each side of the equation. 4.32 + 0.03x + -0.09x = 1.62 + 0.09x + -0.09x Combine like terms: 0.03x + -0.09x = -0.06x 4.32 + -0.06x = 1.62 + 0.09x + -0.09x Combine like terms: 0.09x + -0.09x = 0.00 4.32 + -0.06x = 1.62 + 0.00 4.32 + -0.06x = 1.62 Add '-4.32' to each side of the equation. 4.32 + -4.32 + -0.06x = 1.62 + -4.32 Combine like terms: 4.32 + -4.32 = 0.00 0.00 + -0.06x = 1.62 + -4.32 -0.06x = 1.62 + -4.32 Combine like terms: 1.62 + -4.32 = -2.7 -0.06x = -2.7 Divide each side by '-0.06'. x = 45 Simplifying x = 45
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