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Simplifying 4(9x + 2) + -5(3 + 4x) = 0 Reorder the terms: 4(2 + 9x) + -5(3 + 4x) = 0 (2 * 4 + 9x * 4) + -5(3 + 4x) = 0 (8 + 36x) + -5(3 + 4x) = 0 8 + 36x + (3 * -5 + 4x * -5) = 0 8 + 36x + (-15 + -20x) = 0 Reorder the terms: 8 + -15 + 36x + -20x = 0 Combine like terms: 8 + -15 = -7 -7 + 36x + -20x = 0 Combine like terms: 36x + -20x = 16x -7 + 16x = 0 Solving -7 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 16x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 16x = 0 + 7 16x = 0 + 7 Combine like terms: 0 + 7 = 7 16x = 7 Divide each side by '16'. x = 0.4375 Simplifying x = 0.4375
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