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Simplifying -8(3x + -2) + 4(3x + 4) = 0 Reorder the terms: -8(-2 + 3x) + 4(3x + 4) = 0 (-2 * -8 + 3x * -8) + 4(3x + 4) = 0 (16 + -24x) + 4(3x + 4) = 0 Reorder the terms: 16 + -24x + 4(4 + 3x) = 0 16 + -24x + (4 * 4 + 3x * 4) = 0 16 + -24x + (16 + 12x) = 0 Reorder the terms: 16 + 16 + -24x + 12x = 0 Combine like terms: 16 + 16 = 32 32 + -24x + 12x = 0 Combine like terms: -24x + 12x = -12x 32 + -12x = 0 Solving 32 + -12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -12x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -12x = 0 + -32 -12x = 0 + -32 Combine like terms: 0 + -32 = -32 -12x = -32 Divide each side by '-12'. x = 2.666666667 Simplifying x = 2.666666667
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