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Simplifying 0.12 = 0.7x + -1(1 + -0.7x) 0.12 = 0.7x + (1 * -1 + -0.7x * -1) 0.12 = 0.7x + (-1 + 0.7x) Reorder the terms: 0.12 = -1 + 0.7x + 0.7x Combine like terms: 0.7x + 0.7x = 1.4x 0.12 = -1 + 1.4x Solving 0.12 = -1 + 1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4x' to each side of the equation. 0.12 + -1.4x = -1 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 0.12 + -1.4x = -1 + 0.0 0.12 + -1.4x = -1 Add '-0.12' to each side of the equation. 0.12 + -0.12 + -1.4x = -1 + -0.12 Combine like terms: 0.12 + -0.12 = 0.00 0.00 + -1.4x = -1 + -0.12 -1.4x = -1 + -0.12 Combine like terms: -1 + -0.12 = -1.12 -1.4x = -1.12 Divide each side by '-1.4'. x = 0.8 Simplifying x = 0.8
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