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Simplifying 6 + -2(x + 1) = 7 + x Reorder the terms: 6 + -2(1 + x) = 7 + x 6 + (1 * -2 + x * -2) = 7 + x 6 + (-2 + -2x) = 7 + x Combine like terms: 6 + -2 = 4 4 + -2x = 7 + x Solving 4 + -2x = 7 + x 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. 4 + -2x + -1x = 7 + x + -1x Combine like terms: -2x + -1x = -3x 4 + -3x = 7 + x + -1x Combine like terms: x + -1x = 0 4 + -3x = 7 + 0 4 + -3x = 7 Add '-4' to each side of the equation. 4 + -4 + -3x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 7 + -4 -3x = 7 + -4 Combine like terms: 7 + -4 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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