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Simplifying 0.06x + 0.12(10) = 0.10(x + 10) Multiply 0.12 * 10 0.06x + 1.2 = 0.10(x + 10) Reorder the terms: 1.2 + 0.06x = 0.10(x + 10) Reorder the terms: 1.2 + 0.06x = 0.10(10 + x) 1.2 + 0.06x = (10 * 0.10 + x * 0.10) 1.2 + 0.06x = (1 + 0.10x) Solving 1.2 + 0.06x = 1 + 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 1.2 + 0.06x + -0.10x = 1 + 0.10x + -0.10x Combine like terms: 0.06x + -0.10x = -0.04x 1.2 + -0.04x = 1 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 1.2 + -0.04x = 1 + 0.00 1.2 + -0.04x = 1 Add '-1.2' to each side of the equation. 1.2 + -1.2 + -0.04x = 1 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -0.04x = 1 + -1.2 -0.04x = 1 + -1.2 Combine like terms: 1 + -1.2 = -0.2 -0.04x = -0.2 Divide each side by '-0.04'. x = 5 Simplifying x = 5
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