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Simplifying 3[4 + -1(4x + -7)] + 9x = 0 Reorder the terms: 3[4 + -1(-7 + 4x)] + 9x = 0 3[4 + (-7 * -1 + 4x * -1)] + 9x = 0 3[4 + (7 + -4x)] + 9x = 0 Combine like terms: 4 + 7 = 11 3[11 + -4x] + 9x = 0 [11 * 3 + -4x * 3] + 9x = 0 [33 + -12x] + 9x = 0 Combine like terms: -12x + 9x = -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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