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Simplifying -4(x + -3) + 7(x + 3) = 0 Reorder the terms: -4(-3 + x) + 7(x + 3) = 0 (-3 * -4 + x * -4) + 7(x + 3) = 0 (12 + -4x) + 7(x + 3) = 0 Reorder the terms: 12 + -4x + 7(3 + x) = 0 12 + -4x + (3 * 7 + x * 7) = 0 12 + -4x + (21 + 7x) = 0 Reorder the terms: 12 + 21 + -4x + 7x = 0 Combine like terms: 12 + 21 = 33 33 + -4x + 7x = 0 Combine like terms: -4x + 7x = 3x 33 + 3x = 0 Solving 33 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 3x = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 3x = 0 + -33 3x = 0 + -33 Combine like terms: 0 + -33 = -33 3x = -33 Divide each side by '3'. x = -11 Simplifying x = -11
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