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