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