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Simplifying 5(1 + -1x) = 7(1 + x) (1 * 5 + -1x * 5) = 7(1 + x) (5 + -5x) = 7(1 + x) 5 + -5x = (1 * 7 + x * 7) 5 + -5x = (7 + 7x) Solving 5 + -5x = 7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5 + -5x + -7x = 7 + 7x + -7x Combine like terms: -5x + -7x = -12x 5 + -12x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + -12x = 7 + 0 5 + -12x = 7 Add '-5' to each side of the equation. 5 + -5 + -12x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -12x = 7 + -5 -12x = 7 + -5 Combine like terms: 7 + -5 = 2 -12x = 2 Divide each side by '-12'. x = -0.1666666667 Simplifying x = -0.1666666667
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