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Simplifying 0.24(24) + 0.04x = 0.08(12 + x) Multiply 0.24 * 24 5.76 + 0.04x = 0.08(12 + x) 5.76 + 0.04x = (12 * 0.08 + x * 0.08) 5.76 + 0.04x = (0.96 + 0.08x) Solving 5.76 + 0.04x = 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. 5.76 + 0.04x + -0.08x = 0.96 + 0.08x + -0.08x Combine like terms: 0.04x + -0.08x = -0.04x 5.76 + -0.04x = 0.96 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 5.76 + -0.04x = 0.96 + 0.00 5.76 + -0.04x = 0.96 Add '-5.76' to each side of the equation. 5.76 + -5.76 + -0.04x = 0.96 + -5.76 Combine like terms: 5.76 + -5.76 = 0.00 0.00 + -0.04x = 0.96 + -5.76 -0.04x = 0.96 + -5.76 Combine like terms: 0.96 + -5.76 = -4.8 -0.04x = -4.8 Divide each side by '-0.04'. x = 120 Simplifying x = 120
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