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Simplifying 7(x + 1) = 3(1 + -1x) Reorder the terms: 7(1 + x) = 3(1 + -1x) (1 * 7 + x * 7) = 3(1 + -1x) (7 + 7x) = 3(1 + -1x) 7 + 7x = (1 * 3 + -1x * 3) 7 + 7x = (3 + -3x) Solving 7 + 7x = 3 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 7 + 7x + 3x = 3 + -3x + 3x Combine like terms: 7x + 3x = 10x 7 + 10x = 3 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + 10x = 3 + 0 7 + 10x = 3 Add '-7' to each side of the equation. 7 + -7 + 10x = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 10x = 3 + -7 10x = 3 + -7 Combine like terms: 3 + -7 = -4 10x = -4 Divide each side by '10'. x = -0.4 Simplifying x = -0.4
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