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Simplifying 2 + 2x = 7(x + 1) + -6(x + -1) Reorder the terms: 2 + 2x = 7(1 + x) + -6(x + -1) 2 + 2x = (1 * 7 + x * 7) + -6(x + -1) 2 + 2x = (7 + 7x) + -6(x + -1) Reorder the terms: 2 + 2x = 7 + 7x + -6(-1 + x) 2 + 2x = 7 + 7x + (-1 * -6 + x * -6) 2 + 2x = 7 + 7x + (6 + -6x) Reorder the terms: 2 + 2x = 7 + 6 + 7x + -6x Combine like terms: 7 + 6 = 13 2 + 2x = 13 + 7x + -6x Combine like terms: 7x + -6x = 1x 2 + 2x = 13 + 1x Solving 2 + 2x = 13 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2 + 2x + -1x = 13 + 1x + -1x Combine like terms: 2x + -1x = 1x 2 + 1x = 13 + 1x + -1x Combine like terms: 1x + -1x = 0 2 + 1x = 13 + 0 2 + 1x = 13 Add '-2' to each side of the equation. 2 + -2 + 1x = 13 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 13 + -2 1x = 13 + -2 Combine like terms: 13 + -2 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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