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Simplifying 14 + -2(5 + x) + 3(4 + 5x) = 0 14 + (5 * -2 + x * -2) + 3(4 + 5x) = 0 14 + (-10 + -2x) + 3(4 + 5x) = 0 14 + -10 + -2x + (4 * 3 + 5x * 3) = 0 14 + -10 + -2x + (12 + 15x) = 0 Reorder the terms: 14 + -10 + 12 + -2x + 15x = 0 Combine like terms: 14 + -10 = 4 4 + 12 + -2x + 15x = 0 Combine like terms: 4 + 12 = 16 16 + -2x + 15x = 0 Combine like terms: -2x + 15x = 13x 16 + 13x = 0 Solving 16 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 13x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 13x = 0 + -16 13x = 0 + -16 Combine like terms: 0 + -16 = -16 13x = -16 Divide each side by '13'. x = -1.230769231 Simplifying x = -1.230769231
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