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Simplifying 0.12(24) + 0.03x = 0.06(24 + x) Multiply 0.12 * 24 2.88 + 0.03x = 0.06(24 + x) 2.88 + 0.03x = (24 * 0.06 + x * 0.06) 2.88 + 0.03x = (1.44 + 0.06x) Solving 2.88 + 0.03x = 1.44 + 0.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06x' to each side of the equation. 2.88 + 0.03x + -0.06x = 1.44 + 0.06x + -0.06x Combine like terms: 0.03x + -0.06x = -0.03x 2.88 + -0.03x = 1.44 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 2.88 + -0.03x = 1.44 + 0.00 2.88 + -0.03x = 1.44 Add '-2.88' to each side of the equation. 2.88 + -2.88 + -0.03x = 1.44 + -2.88 Combine like terms: 2.88 + -2.88 = 0.00 0.00 + -0.03x = 1.44 + -2.88 -0.03x = 1.44 + -2.88 Combine like terms: 1.44 + -2.88 = -1.44 -0.03x = -1.44 Divide each side by '-0.03'. x = 48 Simplifying x = 48
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