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Simplifying 3 + -1(x + 1) = 5x + 6 + -7x Reorder the terms: 3 + -1(1 + x) = 5x + 6 + -7x 3 + (1 * -1 + x * -1) = 5x + 6 + -7x 3 + (-1 + -1x) = 5x + 6 + -7x Combine like terms: 3 + -1 = 2 2 + -1x = 5x + 6 + -7x Reorder the terms: 2 + -1x = 6 + 5x + -7x Combine like terms: 5x + -7x = -2x 2 + -1x = 6 + -2x Solving 2 + -1x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 2 + -1x + 2x = 6 + -2x + 2x Combine like terms: -1x + 2x = 1x 2 + 1x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 1x = 6 + 0 2 + 1x = 6 Add '-2' to each side of the equation. 2 + -2 + 1x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 6 + -2 1x = 6 + -2 Combine like terms: 6 + -2 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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