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Simplifying 6(x + 2) + -2(2x + 1) = 0 Reorder the terms: 6(2 + x) + -2(2x + 1) = 0 (2 * 6 + x * 6) + -2(2x + 1) = 0 (12 + 6x) + -2(2x + 1) = 0 Reorder the terms: 12 + 6x + -2(1 + 2x) = 0 12 + 6x + (1 * -2 + 2x * -2) = 0 12 + 6x + (-2 + -4x) = 0 Reorder the terms: 12 + -2 + 6x + -4x = 0 Combine like terms: 12 + -2 = 10 10 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x 10 + 2x = 0 Solving 10 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 2x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 0 + -10 2x = 0 + -10 Combine like terms: 0 + -10 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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