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Simplifying -9(4x + 7) + 8(3x + 4) = 0 Reorder the terms: -9(7 + 4x) + 8(3x + 4) = 0 (7 * -9 + 4x * -9) + 8(3x + 4) = 0 (-63 + -36x) + 8(3x + 4) = 0 Reorder the terms: -63 + -36x + 8(4 + 3x) = 0 -63 + -36x + (4 * 8 + 3x * 8) = 0 -63 + -36x + (32 + 24x) = 0 Reorder the terms: -63 + 32 + -36x + 24x = 0 Combine like terms: -63 + 32 = -31 -31 + -36x + 24x = 0 Combine like terms: -36x + 24x = -12x -31 + -12x = 0 Solving -31 + -12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -12x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -12x = 0 + 31 -12x = 0 + 31 Combine like terms: 0 + 31 = 31 -12x = 31 Divide each side by '-12'. x = -2.583333333 Simplifying x = -2.583333333
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