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