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Simplifying 5(x + 1) + 3(x + -1) = 5 Reorder the terms: 5(1 + x) + 3(x + -1) = 5 (1 * 5 + x * 5) + 3(x + -1) = 5 (5 + 5x) + 3(x + -1) = 5 Reorder the terms: 5 + 5x + 3(-1 + x) = 5 5 + 5x + (-1 * 3 + x * 3) = 5 5 + 5x + (-3 + 3x) = 5 Reorder the terms: 5 + -3 + 5x + 3x = 5 Combine like terms: 5 + -3 = 2 2 + 5x + 3x = 5 Combine like terms: 5x + 3x = 8x 2 + 8x = 5 Solving 2 + 8x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 8x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 5 + -2 8x = 5 + -2 Combine like terms: 5 + -2 = 3 8x = 3 Divide each side by '8'. x = 0.375 Simplifying x = 0.375
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