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Simplifying 0.12 = 0.1x + (0.18(1 + -1x)) 0.12 = 0.1x + ((1 * 0.18 + -1x * 0.18)) 0.12 = 0.1x + ((0.18 + -0.18x)) 0.12 = 0.1x + (0.18 + -0.18x) Remove parenthesis around (0.18 + -0.18x) 0.12 = 0.1x + 0.18 + -0.18x Reorder the terms: 0.12 = 0.18 + 0.1x + -0.18x Combine like terms: 0.1x + -0.18x = -0.08x 0.12 = 0.18 + -0.08x Solving 0.12 = 0.18 + -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. 0.12 + 0.08x = 0.18 + -0.08x + 0.08x Combine like terms: -0.08x + 0.08x = 0.00 0.12 + 0.08x = 0.18 + 0.00 0.12 + 0.08x = 0.18 Add '-0.12' to each side of the equation. 0.12 + -0.12 + 0.08x = 0.18 + -0.12 Combine like terms: 0.12 + -0.12 = 0.00 0.00 + 0.08x = 0.18 + -0.12 0.08x = 0.18 + -0.12 Combine like terms: 0.18 + -0.12 = 0.06 0.08x = 0.06 Divide each side by '0.08'. x = 0.75 Simplifying x = 0.75
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