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Simplifying 5(x + 3) + 3(x + 1) = 0 Reorder the terms: 5(3 + x) + 3(x + 1) = 0 (3 * 5 + x * 5) + 3(x + 1) = 0 (15 + 5x) + 3(x + 1) = 0 Reorder the terms: 15 + 5x + 3(1 + x) = 0 15 + 5x + (1 * 3 + x * 3) = 0 15 + 5x + (3 + 3x) = 0 Reorder the terms: 15 + 3 + 5x + 3x = 0 Combine like terms: 15 + 3 = 18 18 + 5x + 3x = 0 Combine like terms: 5x + 3x = 8x 18 + 8x = 0 Solving 18 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 8x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 8x = 0 + -18 8x = 0 + -18 Combine like terms: 0 + -18 = -18 8x = -18 Divide each side by '8'. x = -2.25 Simplifying x = -2.25
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