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Simplifying -1(x + 1) = 3(8 + -2x) Reorder the terms: -1(1 + x) = 3(8 + -2x) (1 * -1 + x * -1) = 3(8 + -2x) (-1 + -1x) = 3(8 + -2x) -1 + -1x = (8 * 3 + -2x * 3) -1 + -1x = (24 + -6x) Solving -1 + -1x = 24 + -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. -1 + -1x + 6x = 24 + -6x + 6x Combine like terms: -1x + 6x = 5x -1 + 5x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 -1 + 5x = 24 + 0 -1 + 5x = 24 Add '1' to each side of the equation. -1 + 1 + 5x = 24 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 24 + 1 5x = 24 + 1 Combine like terms: 24 + 1 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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