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Simplifying -1(3x + -12) + 4(3x + 7) = 0 Reorder the terms: -1(-12 + 3x) + 4(3x + 7) = 0 (-12 * -1 + 3x * -1) + 4(3x + 7) = 0 (12 + -3x) + 4(3x + 7) = 0 Reorder the terms: 12 + -3x + 4(7 + 3x) = 0 12 + -3x + (7 * 4 + 3x * 4) = 0 12 + -3x + (28 + 12x) = 0 Reorder the terms: 12 + 28 + -3x + 12x = 0 Combine like terms: 12 + 28 = 40 40 + -3x + 12x = 0 Combine like terms: -3x + 12x = 9x 40 + 9x = 0 Solving 40 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 9x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 9x = 0 + -40 9x = 0 + -40 Combine like terms: 0 + -40 = -40 9x = -40 Divide each side by '9'. x = -4.444444444 Simplifying x = -4.444444444
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