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Simplifying -8x + 2x = 3(1 + -2x) + -1(x + 5) Combine like terms: -8x + 2x = -6x -6x = 3(1 + -2x) + -1(x + 5) -6x = (1 * 3 + -2x * 3) + -1(x + 5) -6x = (3 + -6x) + -1(x + 5) Reorder the terms: -6x = 3 + -6x + -1(5 + x) -6x = 3 + -6x + (5 * -1 + x * -1) -6x = 3 + -6x + (-5 + -1x) Reorder the terms: -6x = 3 + -5 + -6x + -1x Combine like terms: 3 + -5 = -2 -6x = -2 + -6x + -1x Combine like terms: -6x + -1x = -7x -6x = -2 + -7x Solving -6x = -2 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -6x + 7x = -2 + -7x + 7x Combine like terms: -6x + 7x = 1x 1x = -2 + -7x + 7x Combine like terms: -7x + 7x = 0 1x = -2 + 0 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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