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Simplifying 0.11 = x * 0.12 + ((1 + -1x) * 0.04) Reorder the terms for easier multiplication: 0.11 = 0.12x + ((1 + -1x) * 0.04) Reorder the terms for easier multiplication: 0.11 = 0.12x + (0.04(1 + -1x)) 0.11 = 0.12x + ((1 * 0.04 + -1x * 0.04)) 0.11 = 0.12x + ((0.04 + -0.04x)) 0.11 = 0.12x + (0.04 + -0.04x) Remove parenthesis around (0.04 + -0.04x) 0.11 = 0.12x + 0.04 + -0.04x Reorder the terms: 0.11 = 0.04 + 0.12x + -0.04x Combine like terms: 0.12x + -0.04x = 0.08x 0.11 = 0.04 + 0.08x Solving 0.11 = 0.04 + 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. 0.11 + -0.08x = 0.04 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 0.11 + -0.08x = 0.04 + 0.00 0.11 + -0.08x = 0.04 Add '-0.11' to each side of the equation. 0.11 + -0.11 + -0.08x = 0.04 + -0.11 Combine like terms: 0.11 + -0.11 = 0.00 0.00 + -0.08x = 0.04 + -0.11 -0.08x = 0.04 + -0.11 Combine like terms: 0.04 + -0.11 = -0.07 -0.08x = -0.07 Divide each side by '-0.08'. x = 0.875 Simplifying x = 0.875
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