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Simplifying 0.11 = (x * 0.08) + (1 + -1x) * 0.12 Reorder the terms for easier multiplication: 0.11 = (0.08x) + (1 + -1x) * 0.12 Reorder the terms for easier multiplication: 0.11 = (0.08x) + 0.12(1 + -1x) 0.11 = (0.08x) + (1 * 0.12 + -1x * 0.12) 0.11 = (0.08x) + (0.12 + -0.12x) Reorder the terms: 0.11 = 0.12 + (0.08x) + -0.12x Combine like terms: (0.08x) + -0.12x = -0.04x 0.11 = 0.12 + -0.04x Solving 0.11 = 0.12 + -0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.04x' to each side of the equation. 0.11 + 0.04x = 0.12 + -0.04x + 0.04x Combine like terms: -0.04x + 0.04x = 0.00 0.11 + 0.04x = 0.12 + 0.00 0.11 + 0.04x = 0.12 Add '-0.11' to each side of the equation. 0.11 + -0.11 + 0.04x = 0.12 + -0.11 Combine like terms: 0.11 + -0.11 = 0.00 0.00 + 0.04x = 0.12 + -0.11 0.04x = 0.12 + -0.11 Combine like terms: 0.12 + -0.11 = 0.01 0.04x = 0.01 Divide each side by '0.04'. x = 0.25 Simplifying x = 0.25
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