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Simplifying 0.24x(6) + 0.06x = 0.12(18 + x) Reorder the terms for easier multiplication: 0.24 * 6x + 0.06x = 0.12(18 + x) Multiply 0.24 * 6 1.44x + 0.06x = 0.12(18 + x) Combine like terms: 1.44x + 0.06x = 1.5x 1.5x = 0.12(18 + x) 1.5x = (18 * 0.12 + x * 0.12) 1.5x = (2.16 + 0.12x) Solving 1.5x = 2.16 + 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. 1.5x + -0.12x = 2.16 + 0.12x + -0.12x Combine like terms: 1.5x + -0.12x = 1.38x 1.38x = 2.16 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 1.38x = 2.16 + 0.00 1.38x = 2.16 Divide each side by '1.38'. x = 1.565217391 Simplifying x = 1.565217391
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