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Simplifying (2x + -3) + -1(7x + 2) = 8x + -1(3x + -15) Reorder the terms: (-3 + 2x) + -1(7x + 2) = 8x + -1(3x + -15) Remove parenthesis around (-3 + 2x) -3 + 2x + -1(7x + 2) = 8x + -1(3x + -15) Reorder the terms: -3 + 2x + -1(2 + 7x) = 8x + -1(3x + -15) -3 + 2x + (2 * -1 + 7x * -1) = 8x + -1(3x + -15) -3 + 2x + (-2 + -7x) = 8x + -1(3x + -15) Reorder the terms: -3 + -2 + 2x + -7x = 8x + -1(3x + -15) Combine like terms: -3 + -2 = -5 -5 + 2x + -7x = 8x + -1(3x + -15) Combine like terms: 2x + -7x = -5x -5 + -5x = 8x + -1(3x + -15) Reorder the terms: -5 + -5x = 8x + -1(-15 + 3x) -5 + -5x = 8x + (-15 * -1 + 3x * -1) -5 + -5x = 8x + (15 + -3x) Reorder the terms: -5 + -5x = 15 + 8x + -3x Combine like terms: 8x + -3x = 5x -5 + -5x = 15 + 5x Solving -5 + -5x = 15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + -5x + -5x = 15 + 5x + -5x Combine like terms: -5x + -5x = -10x -5 + -10x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -10x = 15 + 0 -5 + -10x = 15 Add '5' to each side of the equation. -5 + 5 + -10x = 15 + 5 Combine like terms: -5 + 5 = 0 0 + -10x = 15 + 5 -10x = 15 + 5 Combine like terms: 15 + 5 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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