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