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Simplifying 0.10x + 5(0.20) = 0.12(x + 5) Multiply 5 * 0.20 0.10x + 1 = 0.12(x + 5) Reorder the terms: 1 + 0.10x = 0.12(x + 5) Reorder the terms: 1 + 0.10x = 0.12(5 + x) 1 + 0.10x = (5 * 0.12 + x * 0.12) 1 + 0.10x = (0.6 + 0.12x) Solving 1 + 0.10x = 0.6 + 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 + 0.10x + -0.12x = 0.6 + 0.12x + -0.12x Combine like terms: 0.10x + -0.12x = -0.02x 1 + -0.02x = 0.6 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 1 + -0.02x = 0.6 + 0.00 1 + -0.02x = 0.6 Add '-1' to each side of the equation. 1 + -1 + -0.02x = 0.6 + -1 Combine like terms: 1 + -1 = 0 0 + -0.02x = 0.6 + -1 -0.02x = 0.6 + -1 Combine like terms: 0.6 + -1 = -0.4 -0.02x = -0.4 Divide each side by '-0.02'. x = 20 Simplifying x = 20
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