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Simplifying 0.1x + 0.2(9) = 0.12(x + 9) Multiply 0.2 * 9 0.1x + 1.8 = 0.12(x + 9) Reorder the terms: 1.8 + 0.1x = 0.12(x + 9) Reorder the terms: 1.8 + 0.1x = 0.12(9 + x) 1.8 + 0.1x = (9 * 0.12 + x * 0.12) 1.8 + 0.1x = (1.08 + 0.12x) Solving 1.8 + 0.1x = 1.08 + 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. 1.8 + 0.1x + -0.12x = 1.08 + 0.12x + -0.12x Combine like terms: 0.1x + -0.12x = -0.02x 1.8 + -0.02x = 1.08 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 1.8 + -0.02x = 1.08 + 0.00 1.8 + -0.02x = 1.08 Add '-1.8' to each side of the equation. 1.8 + -1.8 + -0.02x = 1.08 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -0.02x = 1.08 + -1.8 -0.02x = 1.08 + -1.8 Combine like terms: 1.08 + -1.8 = -0.72 -0.02x = -0.72 Divide each side by '-0.02'. x = 36 Simplifying x = 36
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