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Simplifying -4(5x + -8) + 3(4x + 9) = 0 Reorder the terms: -4(-8 + 5x) + 3(4x + 9) = 0 (-8 * -4 + 5x * -4) + 3(4x + 9) = 0 (32 + -20x) + 3(4x + 9) = 0 Reorder the terms: 32 + -20x + 3(9 + 4x) = 0 32 + -20x + (9 * 3 + 4x * 3) = 0 32 + -20x + (27 + 12x) = 0 Reorder the terms: 32 + 27 + -20x + 12x = 0 Combine like terms: 32 + 27 = 59 59 + -20x + 12x = 0 Combine like terms: -20x + 12x = -8x 59 + -8x = 0 Solving 59 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-59' to each side of the equation. 59 + -59 + -8x = 0 + -59 Combine like terms: 59 + -59 = 0 0 + -8x = 0 + -59 -8x = 0 + -59 Combine like terms: 0 + -59 = -59 -8x = -59 Divide each side by '-8'. x = 7.375 Simplifying x = 7.375
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