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Simplifying 5(4 + x) + 3(1 + 2x) + 4(5 + 3x) + -20 = 0 (4 * 5 + x * 5) + 3(1 + 2x) + 4(5 + 3x) + -20 = 0 (20 + 5x) + 3(1 + 2x) + 4(5 + 3x) + -20 = 0 20 + 5x + (1 * 3 + 2x * 3) + 4(5 + 3x) + -20 = 0 20 + 5x + (3 + 6x) + 4(5 + 3x) + -20 = 0 20 + 5x + 3 + 6x + (5 * 4 + 3x * 4) + -20 = 0 20 + 5x + 3 + 6x + (20 + 12x) + -20 = 0 Reorder the terms: 20 + 3 + 20 + -20 + 5x + 6x + 12x = 0 Combine like terms: 20 + 3 = 23 23 + 20 + -20 + 5x + 6x + 12x = 0 Combine like terms: 23 + 20 = 43 43 + -20 + 5x + 6x + 12x = 0 Combine like terms: 43 + -20 = 23 23 + 5x + 6x + 12x = 0 Combine like terms: 5x + 6x = 11x 23 + 11x + 12x = 0 Combine like terms: 11x + 12x = 23x 23 + 23x = 0 Solving 23 + 23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 23x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 23x = 0 + -23 23x = 0 + -23 Combine like terms: 0 + -23 = -23 23x = -23 Divide each side by '23'. x = -1 Simplifying x = -1
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