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Simplifying 2(x + 7) + 2(x + 3) + 6x = 0 Reorder the terms: 2(7 + x) + 2(x + 3) + 6x = 0 (7 * 2 + x * 2) + 2(x + 3) + 6x = 0 (14 + 2x) + 2(x + 3) + 6x = 0 Reorder the terms: 14 + 2x + 2(3 + x) + 6x = 0 14 + 2x + (3 * 2 + x * 2) + 6x = 0 14 + 2x + (6 + 2x) + 6x = 0 Reorder the terms: 14 + 6 + 2x + 2x + 6x = 0 Combine like terms: 14 + 6 = 20 20 + 2x + 2x + 6x = 0 Combine like terms: 2x + 2x = 4x 20 + 4x + 6x = 0 Combine like terms: 4x + 6x = 10x 20 + 10x = 0 Solving 20 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 10x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 10x = 0 + -20 10x = 0 + -20 Combine like terms: 0 + -20 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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