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Simplifying 0.06(x) + 0.15(10) = 0.12(x + 10) Multiply 0.15 * 10 0.06x + 1.5 = 0.12(x + 10) Reorder the terms: 1.5 + 0.06x = 0.12(x + 10) Reorder the terms: 1.5 + 0.06x = 0.12(10 + x) 1.5 + 0.06x = (10 * 0.12 + x * 0.12) 1.5 + 0.06x = (1.2 + 0.12x) Solving 1.5 + 0.06x = 1.2 + 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. 1.5 + 0.06x + -0.12x = 1.2 + 0.12x + -0.12x Combine like terms: 0.06x + -0.12x = -0.06x 1.5 + -0.06x = 1.2 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 1.5 + -0.06x = 1.2 + 0.00 1.5 + -0.06x = 1.2 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -0.06x = 1.2 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -0.06x = 1.2 + -1.5 -0.06x = 1.2 + -1.5 Combine like terms: 1.2 + -1.5 = -0.3 -0.06x = -0.3 Divide each side by '-0.06'. x = 5 Simplifying x = 5
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