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Simplifying 2(x + -7) + 5(3 + 2x) + 6 = 0 Reorder the terms: 2(-7 + x) + 5(3 + 2x) + 6 = 0 (-7 * 2 + x * 2) + 5(3 + 2x) + 6 = 0 (-14 + 2x) + 5(3 + 2x) + 6 = 0 -14 + 2x + (3 * 5 + 2x * 5) + 6 = 0 -14 + 2x + (15 + 10x) + 6 = 0 Reorder the terms: -14 + 15 + 6 + 2x + 10x = 0 Combine like terms: -14 + 15 = 1 1 + 6 + 2x + 10x = 0 Combine like terms: 1 + 6 = 7 7 + 2x + 10x = 0 Combine like terms: 2x + 10x = 12x 7 + 12x = 0 Solving 7 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 12x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 12x = 0 + -7 12x = 0 + -7 Combine like terms: 0 + -7 = -7 12x = -7 Divide each side by '12'. x = -0.5833333333 Simplifying x = -0.5833333333
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