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