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Simplifying (3x + 2) + -1(x + -5) = -5x + -1(x + -1) + -2 Reorder the terms: (2 + 3x) + -1(x + -5) = -5x + -1(x + -1) + -2 Remove parenthesis around (2 + 3x) 2 + 3x + -1(x + -5) = -5x + -1(x + -1) + -2 Reorder the terms: 2 + 3x + -1(-5 + x) = -5x + -1(x + -1) + -2 2 + 3x + (-5 * -1 + x * -1) = -5x + -1(x + -1) + -2 2 + 3x + (5 + -1x) = -5x + -1(x + -1) + -2 Reorder the terms: 2 + 5 + 3x + -1x = -5x + -1(x + -1) + -2 Combine like terms: 2 + 5 = 7 7 + 3x + -1x = -5x + -1(x + -1) + -2 Combine like terms: 3x + -1x = 2x 7 + 2x = -5x + -1(x + -1) + -2 Reorder the terms: 7 + 2x = -5x + -1(-1 + x) + -2 7 + 2x = -5x + (-1 * -1 + x * -1) + -2 7 + 2x = -5x + (1 + -1x) + -2 Reorder the terms: 7 + 2x = 1 + -2 + -5x + -1x Combine like terms: 1 + -2 = -1 7 + 2x = -1 + -5x + -1x Combine like terms: -5x + -1x = -6x 7 + 2x = -1 + -6x Solving 7 + 2x = -1 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 7 + 2x + 6x = -1 + -6x + 6x Combine like terms: 2x + 6x = 8x 7 + 8x = -1 + -6x + 6x Combine like terms: -6x + 6x = 0 7 + 8x = -1 + 0 7 + 8x = -1 Add '-7' to each side of the equation. 7 + -7 + 8x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = -1 + -7 8x = -1 + -7 Combine like terms: -1 + -7 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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