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Simplifying 6(x + 3) + -2(2x + 4) = 2 Reorder the terms: 6(3 + x) + -2(2x + 4) = 2 (3 * 6 + x * 6) + -2(2x + 4) = 2 (18 + 6x) + -2(2x + 4) = 2 Reorder the terms: 18 + 6x + -2(4 + 2x) = 2 18 + 6x + (4 * -2 + 2x * -2) = 2 18 + 6x + (-8 + -4x) = 2 Reorder the terms: 18 + -8 + 6x + -4x = 2 Combine like terms: 18 + -8 = 10 10 + 6x + -4x = 2 Combine like terms: 6x + -4x = 2x 10 + 2x = 2 Solving 10 + 2x = 2 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 = 2 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 2 + -10 2x = 2 + -10 Combine like terms: 2 + -10 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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