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Simplifying 7(x + 2) + -4(x + -3) = 0 Reorder the terms: 7(2 + x) + -4(x + -3) = 0 (2 * 7 + x * 7) + -4(x + -3) = 0 (14 + 7x) + -4(x + -3) = 0 Reorder the terms: 14 + 7x + -4(-3 + x) = 0 14 + 7x + (-3 * -4 + x * -4) = 0 14 + 7x + (12 + -4x) = 0 Reorder the terms: 14 + 12 + 7x + -4x = 0 Combine like terms: 14 + 12 = 26 26 + 7x + -4x = 0 Combine like terms: 7x + -4x = 3x 26 + 3x = 0 Solving 26 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 3x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 3x = 0 + -26 3x = 0 + -26 Combine like terms: 0 + -26 = -26 3x = -26 Divide each side by '3'. x = -8.666666667 Simplifying x = -8.666666667
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