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Simplifying 3(2x + 6) + -4(x + 4) = 0 Reorder the terms: 3(6 + 2x) + -4(x + 4) = 0 (6 * 3 + 2x * 3) + -4(x + 4) = 0 (18 + 6x) + -4(x + 4) = 0 Reorder the terms: 18 + 6x + -4(4 + x) = 0 18 + 6x + (4 * -4 + x * -4) = 0 18 + 6x + (-16 + -4x) = 0 Reorder the terms: 18 + -16 + 6x + -4x = 0 Combine like terms: 18 + -16 = 2 2 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x 2 + 2x = 0 Solving 2 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 0 + -2 2x = 0 + -2 Combine like terms: 0 + -2 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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