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Simplifying 2(x + 3) + -3(x + 4) = 0 Reorder the terms: 2(3 + x) + -3(x + 4) = 0 (3 * 2 + x * 2) + -3(x + 4) = 0 (6 + 2x) + -3(x + 4) = 0 Reorder the terms: 6 + 2x + -3(4 + x) = 0 6 + 2x + (4 * -3 + x * -3) = 0 6 + 2x + (-12 + -3x) = 0 Reorder the terms: 6 + -12 + 2x + -3x = 0 Combine like terms: 6 + -12 = -6 -6 + 2x + -3x = 0 Combine like terms: 2x + -3x = -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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