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Simplifying -5(x + 3) + 2 = (x + -1) Reorder the terms: -5(3 + x) + 2 = (x + -1) (3 * -5 + x * -5) + 2 = (x + -1) (-15 + -5x) + 2 = (x + -1) Reorder the terms: -15 + 2 + -5x = (x + -1) Combine like terms: -15 + 2 = -13 -13 + -5x = (x + -1) Reorder the terms: -13 + -5x = (-1 + x) Remove parenthesis around (-1 + x) -13 + -5x = -1 + x Solving -13 + -5x = -1 + 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. -13 + -5x + -1x = -1 + x + -1x Combine like terms: -5x + -1x = -6x -13 + -6x = -1 + x + -1x Combine like terms: x + -1x = 0 -13 + -6x = -1 + 0 -13 + -6x = -1 Add '13' to each side of the equation. -13 + 13 + -6x = -1 + 13 Combine like terms: -13 + 13 = 0 0 + -6x = -1 + 13 -6x = -1 + 13 Combine like terms: -1 + 13 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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