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