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Simplifying 0.09 = x + (0.10 + -1x) * 1.2 Reorder the terms for easier multiplication: 0.09 = x + 1.2(0.10 + -1x) 0.09 = x + (0.10 * 1.2 + -1x * 1.2) 0.09 = x + (0.12 + -1.2x) Reorder the terms: 0.09 = 0.12 + x + -1.2x Combine like terms: x + -1.2x = -0.2x 0.09 = 0.12 + -0.2x Solving 0.09 = 0.12 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. 0.09 + 0.2x = 0.12 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 0.09 + 0.2x = 0.12 + 0.0 0.09 + 0.2x = 0.12 Add '-0.09' to each side of the equation. 0.09 + -0.09 + 0.2x = 0.12 + -0.09 Combine like terms: 0.09 + -0.09 = 0.00 0.00 + 0.2x = 0.12 + -0.09 0.2x = 0.12 + -0.09 Combine like terms: 0.12 + -0.09 = 0.03 0.2x = 0.03 Divide each side by '0.2'. x = 0.15 Simplifying x = 0.15
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