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Simplifying 5(x + 1) + 3(3 + -1x) = 0 Reorder the terms: 5(1 + x) + 3(3 + -1x) = 0 (1 * 5 + x * 5) + 3(3 + -1x) = 0 (5 + 5x) + 3(3 + -1x) = 0 5 + 5x + (3 * 3 + -1x * 3) = 0 5 + 5x + (9 + -3x) = 0 Reorder the terms: 5 + 9 + 5x + -3x = 0 Combine like terms: 5 + 9 = 14 14 + 5x + -3x = 0 Combine like terms: 5x + -3x = 2x 14 + 2x = 0 Solving 14 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 2x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 0 + -14 2x = 0 + -14 Combine like terms: 0 + -14 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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