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Simplifying -8x + 2 + -5x = -6(-1 + 3x) + -4(1 + -2x) Reorder the terms: 2 + -8x + -5x = -6(-1 + 3x) + -4(1 + -2x) Combine like terms: -8x + -5x = -13x 2 + -13x = -6(-1 + 3x) + -4(1 + -2x) 2 + -13x = (-1 * -6 + 3x * -6) + -4(1 + -2x) 2 + -13x = (6 + -18x) + -4(1 + -2x) 2 + -13x = 6 + -18x + (1 * -4 + -2x * -4) 2 + -13x = 6 + -18x + (-4 + 8x) Reorder the terms: 2 + -13x = 6 + -4 + -18x + 8x Combine like terms: 6 + -4 = 2 2 + -13x = 2 + -18x + 8x Combine like terms: -18x + 8x = -10x 2 + -13x = 2 + -10x Add '-2' to each side of the equation. 2 + -2 + -13x = 2 + -2 + -10x Combine like terms: 2 + -2 = 0 0 + -13x = 2 + -2 + -10x -13x = 2 + -2 + -10x Combine like terms: 2 + -2 = 0 -13x = 0 + -10x -13x = -10x Solving -13x = -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -13x + 10x = -10x + 10x Combine like terms: -13x + 10x = -3x -3x = -10x + 10x Combine like terms: -10x + 10x = 0 -3x = 0 Divide each side by '-3'. x = 0 Simplifying x = 0
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