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