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Simplifying -2(5 + -6x) + -2(x + -1) = 6x (5 * -2 + -6x * -2) + -2(x + -1) = 6x (-10 + 12x) + -2(x + -1) = 6x Reorder the terms: -10 + 12x + -2(-1 + x) = 6x -10 + 12x + (-1 * -2 + x * -2) = 6x -10 + 12x + (2 + -2x) = 6x Reorder the terms: -10 + 2 + 12x + -2x = 6x Combine like terms: -10 + 2 = -8 -8 + 12x + -2x = 6x Combine like terms: 12x + -2x = 10x -8 + 10x = 6x Solving -8 + 10x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 10x + -6x = 6x + -6x Combine like terms: 10x + -6x = 4x -8 + 4x = 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 4x = 0 Add '8' to each side of the equation. -8 + 8 + 4x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 0 + 8 4x = 0 + 8 Combine like terms: 0 + 8 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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