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Simplifying 0.12 = x + 0.1 + (1 + -1x) * 0.06 Reorder the terms for easier multiplication: 0.12 = x + 0.1 + 0.06(1 + -1x) 0.12 = x + 0.1 + (1 * 0.06 + -1x * 0.06) 0.12 = x + 0.1 + (0.06 + -0.06x) Reorder the terms: 0.12 = 0.1 + 0.06 + x + -0.06x Combine like terms: 0.1 + 0.06 = 0.16 0.12 = 0.16 + x + -0.06x Combine like terms: x + -0.06x = 0.94x 0.12 = 0.16 + 0.94x Solving 0.12 = 0.16 + 0.94x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.94x' to each side of the equation. 0.12 + -0.94x = 0.16 + 0.94x + -0.94x Combine like terms: 0.94x + -0.94x = 0.00 0.12 + -0.94x = 0.16 + 0.00 0.12 + -0.94x = 0.16 Add '-0.12' to each side of the equation. 0.12 + -0.12 + -0.94x = 0.16 + -0.12 Combine like terms: 0.12 + -0.12 = 0.00 0.00 + -0.94x = 0.16 + -0.12 -0.94x = 0.16 + -0.12 Combine like terms: 0.16 + -0.12 = 0.04 -0.94x = 0.04 Divide each side by '-0.94'. x = -0.04255319149 Simplifying x = -0.04255319149
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