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