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Simplifying 7(1 + -1x) = 5(1 + -2x) (1 * 7 + -1x * 7) = 5(1 + -2x) (7 + -7x) = 5(1 + -2x) 7 + -7x = (1 * 5 + -2x * 5) 7 + -7x = (5 + -10x) Solving 7 + -7x = 5 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 7 + -7x + 10x = 5 + -10x + 10x Combine like terms: -7x + 10x = 3x 7 + 3x = 5 + -10x + 10x Combine like terms: -10x + 10x = 0 7 + 3x = 5 + 0 7 + 3x = 5 Add '-7' to each side of the equation. 7 + -7 + 3x = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 5 + -7 3x = 5 + -7 Combine like terms: 5 + -7 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667
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