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Simplifying 5(x + 5) + -3(x + 2) + 2(x + 6) = 0 Reorder the terms: 5(5 + x) + -3(x + 2) + 2(x + 6) = 0 (5 * 5 + x * 5) + -3(x + 2) + 2(x + 6) = 0 (25 + 5x) + -3(x + 2) + 2(x + 6) = 0 Reorder the terms: 25 + 5x + -3(2 + x) + 2(x + 6) = 0 25 + 5x + (2 * -3 + x * -3) + 2(x + 6) = 0 25 + 5x + (-6 + -3x) + 2(x + 6) = 0 Reorder the terms: 25 + 5x + -6 + -3x + 2(6 + x) = 0 25 + 5x + -6 + -3x + (6 * 2 + x * 2) = 0 25 + 5x + -6 + -3x + (12 + 2x) = 0 Reorder the terms: 25 + -6 + 12 + 5x + -3x + 2x = 0 Combine like terms: 25 + -6 = 19 19 + 12 + 5x + -3x + 2x = 0 Combine like terms: 19 + 12 = 31 31 + 5x + -3x + 2x = 0 Combine like terms: 5x + -3x = 2x 31 + 2x + 2x = 0 Combine like terms: 2x + 2x = 4x 31 + 4x = 0 Solving 31 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 4x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 4x = 0 + -31 4x = 0 + -31 Combine like terms: 0 + -31 = -31 4x = -31 Divide each side by '4'. x = -7.75 Simplifying x = -7.75
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