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Simplifying (-4x + -8) + -1(-3x + 2) = 10x + -1(5x + 1) + -8x + -1 Reorder the terms: (-8 + -4x) + -1(-3x + 2) = 10x + -1(5x + 1) + -8x + -1 Remove parenthesis around (-8 + -4x) -8 + -4x + -1(-3x + 2) = 10x + -1(5x + 1) + -8x + -1 Reorder the terms: -8 + -4x + -1(2 + -3x) = 10x + -1(5x + 1) + -8x + -1 -8 + -4x + (2 * -1 + -3x * -1) = 10x + -1(5x + 1) + -8x + -1 -8 + -4x + (-2 + 3x) = 10x + -1(5x + 1) + -8x + -1 Reorder the terms: -8 + -2 + -4x + 3x = 10x + -1(5x + 1) + -8x + -1 Combine like terms: -8 + -2 = -10 -10 + -4x + 3x = 10x + -1(5x + 1) + -8x + -1 Combine like terms: -4x + 3x = -1x -10 + -1x = 10x + -1(5x + 1) + -8x + -1 Reorder the terms: -10 + -1x = 10x + -1(1 + 5x) + -8x + -1 -10 + -1x = 10x + (1 * -1 + 5x * -1) + -8x + -1 -10 + -1x = 10x + (-1 + -5x) + -8x + -1 Reorder the terms: -10 + -1x = -1 + -1 + 10x + -5x + -8x Combine like terms: -1 + -1 = -2 -10 + -1x = -2 + 10x + -5x + -8x Combine like terms: 10x + -5x = 5x -10 + -1x = -2 + 5x + -8x Combine like terms: 5x + -8x = -3x -10 + -1x = -2 + -3x Solving -10 + -1x = -2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -10 + -1x + 3x = -2 + -3x + 3x Combine like terms: -1x + 3x = 2x -10 + 2x = -2 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + 2x = -2 + 0 -10 + 2x = -2 Add '10' to each side of the equation. -10 + 10 + 2x = -2 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = -2 + 10 2x = -2 + 10 Combine like terms: -2 + 10 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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