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Simplifying 3(x + 4) + -2(3 + 2x) = 0 Reorder the terms: 3(4 + x) + -2(3 + 2x) = 0 (4 * 3 + x * 3) + -2(3 + 2x) = 0 (12 + 3x) + -2(3 + 2x) = 0 12 + 3x + (3 * -2 + 2x * -2) = 0 12 + 3x + (-6 + -4x) = 0 Reorder the terms: 12 + -6 + 3x + -4x = 0 Combine like terms: 12 + -6 = 6 6 + 3x + -4x = 0 Combine like terms: 3x + -4x = -1x 6 + -1x = 0 Solving 6 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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