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Simplifying 0.06(10) + 0.12x = 0.08(x + 10) Multiply 0.06 * 10 0.6 + 0.12x = 0.08(x + 10) Reorder the terms: 0.6 + 0.12x = 0.08(10 + x) 0.6 + 0.12x = (10 * 0.08 + x * 0.08) 0.6 + 0.12x = (0.8 + 0.08x) Solving 0.6 + 0.12x = 0.8 + 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. 0.6 + 0.12x + -0.08x = 0.8 + 0.08x + -0.08x Combine like terms: 0.12x + -0.08x = 0.04x 0.6 + 0.04x = 0.8 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 0.6 + 0.04x = 0.8 + 0.00 0.6 + 0.04x = 0.8 Add '-0.6' to each side of the equation. 0.6 + -0.6 + 0.04x = 0.8 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.04x = 0.8 + -0.6 0.04x = 0.8 + -0.6 Combine like terms: 0.8 + -0.6 = 0.2 0.04x = 0.2 Divide each side by '0.04'. x = 5 Simplifying x = 5
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