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Simplifying -1(x + 8) = 2(-3x + 1) Reorder the terms: -1(8 + x) = 2(-3x + 1) (8 * -1 + x * -1) = 2(-3x + 1) (-8 + -1x) = 2(-3x + 1) Reorder the terms: -8 + -1x = 2(1 + -3x) -8 + -1x = (1 * 2 + -3x * 2) -8 + -1x = (2 + -6x) Solving -8 + -1x = 2 + -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 + -1x + 6x = 2 + -6x + 6x Combine like terms: -1x + 6x = 5x -8 + 5x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 5x = 2 + 0 -8 + 5x = 2 Add '8' to each side of the equation. -8 + 8 + 5x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = 2 + 8 5x = 2 + 8 Combine like terms: 2 + 8 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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