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Simplifying (x + 5) + -1(-3x + 2x) = -5 + 2 Reorder the terms: (5 + x) + -1(-3x + 2x) = -5 + 2 Remove parenthesis around (5 + x) 5 + x + -1(-3x + 2x) = -5 + 2 Combine like terms: -3x + 2x = -1x 5 + x + -1(-1x) = -5 + 2 Remove parenthesis around (-1x) 5 + x + -1 * -1x = -5 + 2 Multiply -1 * -1 5 + x + 1x = -5 + 2 Combine like terms: x + 1x = 2x 5 + 2x = -5 + 2 Combine like terms: -5 + 2 = -3 5 + 2x = -3 Solving 5 + 2x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = -3 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = -3 + -5 2x = -3 + -5 Combine like terms: -3 + -5 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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