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Simplifying 0.12x(24) + 0.03 = 0.06(18 + x) Reorder the terms for easier multiplication: 0.12 * 24x + 0.03 = 0.06(18 + x) Multiply 0.12 * 24 2.88x + 0.03 = 0.06(18 + x) Reorder the terms: 0.03 + 2.88x = 0.06(18 + x) 0.03 + 2.88x = (18 * 0.06 + x * 0.06) 0.03 + 2.88x = (1.08 + 0.06x) Solving 0.03 + 2.88x = 1.08 + 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. 0.03 + 2.88x + -0.06x = 1.08 + 0.06x + -0.06x Combine like terms: 2.88x + -0.06x = 2.82x 0.03 + 2.82x = 1.08 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 0.03 + 2.82x = 1.08 + 0.00 0.03 + 2.82x = 1.08 Add '-0.03' to each side of the equation. 0.03 + -0.03 + 2.82x = 1.08 + -0.03 Combine like terms: 0.03 + -0.03 = 0.00 0.00 + 2.82x = 1.08 + -0.03 2.82x = 1.08 + -0.03 Combine like terms: 1.08 + -0.03 = 1.05 2.82x = 1.05 Divide each side by '2.82'. x = 0.3723404255 Simplifying x = 0.3723404255
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