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Simplifying 0.24(12 + 0.04x) = 0.08(12 + x) (12 * 0.24 + 0.04x * 0.24) = 0.08(12 + x) (2.88 + 0.0096x) = 0.08(12 + x) 2.88 + 0.0096x = (12 * 0.08 + x * 0.08) 2.88 + 0.0096x = (0.96 + 0.08x) Solving 2.88 + 0.0096x = 0.96 + 0.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08x' to each side of the equation. 2.88 + 0.0096x + -0.08x = 0.96 + 0.08x + -0.08x Combine like terms: 0.0096x + -0.08x = -0.0704x 2.88 + -0.0704x = 0.96 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 2.88 + -0.0704x = 0.96 + 0.00 2.88 + -0.0704x = 0.96 Add '-2.88' to each side of the equation. 2.88 + -2.88 + -0.0704x = 0.96 + -2.88 Combine like terms: 2.88 + -2.88 = 0.00 0.00 + -0.0704x = 0.96 + -2.88 -0.0704x = 0.96 + -2.88 Combine like terms: 0.96 + -2.88 = -1.92 -0.0704x = -1.92 Divide each side by '-0.0704'. x = 27.27272727 Simplifying x = 27.27272727
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