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Simplifying 6(4x + -3) + -5(4x + -7) = 0 Reorder the terms: 6(-3 + 4x) + -5(4x + -7) = 0 (-3 * 6 + 4x * 6) + -5(4x + -7) = 0 (-18 + 24x) + -5(4x + -7) = 0 Reorder the terms: -18 + 24x + -5(-7 + 4x) = 0 -18 + 24x + (-7 * -5 + 4x * -5) = 0 -18 + 24x + (35 + -20x) = 0 Reorder the terms: -18 + 35 + 24x + -20x = 0 Combine like terms: -18 + 35 = 17 17 + 24x + -20x = 0 Combine like terms: 24x + -20x = 4x 17 + 4x = 0 Solving 17 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 4x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 4x = 0 + -17 4x = 0 + -17 Combine like terms: 0 + -17 = -17 4x = -17 Divide each side by '4'. x = -4.25 Simplifying x = -4.25
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