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Simplifying (-4 + -8) + -1(-3x + 2) = 10x + -1(5x + 1) + -8x + -1 Combine like terms: -4 + -8 = -12 (-12) + -1(-3x + 2) = 10x + -1(5x + 1) + -8x + -1 -12 + -1(-3x + 2) = 10x + -1(5x + 1) + -8x + -1 Reorder the terms: -12 + -1(2 + -3x) = 10x + -1(5x + 1) + -8x + -1 -12 + (2 * -1 + -3x * -1) = 10x + -1(5x + 1) + -8x + -1 -12 + (-2 + 3x) = 10x + -1(5x + 1) + -8x + -1 Combine like terms: -12 + -2 = -14 -14 + 3x = 10x + -1(5x + 1) + -8x + -1 Reorder the terms: -14 + 3x = 10x + -1(1 + 5x) + -8x + -1 -14 + 3x = 10x + (1 * -1 + 5x * -1) + -8x + -1 -14 + 3x = 10x + (-1 + -5x) + -8x + -1 Reorder the terms: -14 + 3x = -1 + -1 + 10x + -5x + -8x Combine like terms: -1 + -1 = -2 -14 + 3x = -2 + 10x + -5x + -8x Combine like terms: 10x + -5x = 5x -14 + 3x = -2 + 5x + -8x Combine like terms: 5x + -8x = -3x -14 + 3x = -2 + -3x Solving -14 + 3x = -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. -14 + 3x + 3x = -2 + -3x + 3x Combine like terms: 3x + 3x = 6x -14 + 6x = -2 + -3x + 3x Combine like terms: -3x + 3x = 0 -14 + 6x = -2 + 0 -14 + 6x = -2 Add '14' to each side of the equation. -14 + 14 + 6x = -2 + 14 Combine like terms: -14 + 14 = 0 0 + 6x = -2 + 14 6x = -2 + 14 Combine like terms: -2 + 14 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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