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Simplifying 1 = 0.8x + 1.4(1 + -1x) 1 = 0.8x + (1 * 1.4 + -1x * 1.4) 1 = 0.8x + (1.4 + -1.4x) Reorder the terms: 1 = 1.4 + 0.8x + -1.4x Combine like terms: 0.8x + -1.4x = -0.6x 1 = 1.4 + -0.6x Solving 1 = 1.4 + -0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6x' to each side of the equation. 1 + 0.6x = 1.4 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 1 + 0.6x = 1.4 + 0.0 1 + 0.6x = 1.4 Add '-1' to each side of the equation. 1 + -1 + 0.6x = 1.4 + -1 Combine like terms: 1 + -1 = 0 0 + 0.6x = 1.4 + -1 0.6x = 1.4 + -1 Combine like terms: 1.4 + -1 = 0.4 0.6x = 0.4 Divide each side by '0.6'. x = 0.6666666667 Simplifying x = 0.6666666667
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