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