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Simplifying -4x + -2 + -1(8x + 1) = -1(-2x + -10) Reorder the terms: -4x + -2 + -1(1 + 8x) = -1(-2x + -10) -4x + -2 + (1 * -1 + 8x * -1) = -1(-2x + -10) -4x + -2 + (-1 + -8x) = -1(-2x + -10) Reorder the terms: -2 + -1 + -4x + -8x = -1(-2x + -10) Combine like terms: -2 + -1 = -3 -3 + -4x + -8x = -1(-2x + -10) Combine like terms: -4x + -8x = -12x -3 + -12x = -1(-2x + -10) Reorder the terms: -3 + -12x = -1(-10 + -2x) -3 + -12x = (-10 * -1 + -2x * -1) -3 + -12x = (10 + 2x) Solving -3 + -12x = 10 + 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. -3 + -12x + -2x = 10 + 2x + -2x Combine like terms: -12x + -2x = -14x -3 + -14x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + -14x = 10 + 0 -3 + -14x = 10 Add '3' to each side of the equation. -3 + 3 + -14x = 10 + 3 Combine like terms: -3 + 3 = 0 0 + -14x = 10 + 3 -14x = 10 + 3 Combine like terms: 10 + 3 = 13 -14x = 13 Divide each side by '-14'. x = -0.9285714286 Simplifying x = -0.9285714286
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