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Simplifying 5(x + 3) + 8(2x + 3) + 3 = 0 Reorder the terms: 5(3 + x) + 8(2x + 3) + 3 = 0 (3 * 5 + x * 5) + 8(2x + 3) + 3 = 0 (15 + 5x) + 8(2x + 3) + 3 = 0 Reorder the terms: 15 + 5x + 8(3 + 2x) + 3 = 0 15 + 5x + (3 * 8 + 2x * 8) + 3 = 0 15 + 5x + (24 + 16x) + 3 = 0 Reorder the terms: 15 + 24 + 3 + 5x + 16x = 0 Combine like terms: 15 + 24 = 39 39 + 3 + 5x + 16x = 0 Combine like terms: 39 + 3 = 42 42 + 5x + 16x = 0 Combine like terms: 5x + 16x = 21x 42 + 21x = 0 Solving 42 + 21x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 21x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 21x = 0 + -42 21x = 0 + -42 Combine like terms: 0 + -42 = -42 21x = -42 Divide each side by '21'. x = -2 Simplifying x = -2
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