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Simplifying 4(x + 2) + -5(4x + 9) = 0 Reorder the terms: 4(2 + x) + -5(4x + 9) = 0 (2 * 4 + x * 4) + -5(4x + 9) = 0 (8 + 4x) + -5(4x + 9) = 0 Reorder the terms: 8 + 4x + -5(9 + 4x) = 0 8 + 4x + (9 * -5 + 4x * -5) = 0 8 + 4x + (-45 + -20x) = 0 Reorder the terms: 8 + -45 + 4x + -20x = 0 Combine like terms: 8 + -45 = -37 -37 + 4x + -20x = 0 Combine like terms: 4x + -20x = -16x -37 + -16x = 0 Solving -37 + -16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + -16x = 0 + 37 Combine like terms: -37 + 37 = 0 0 + -16x = 0 + 37 -16x = 0 + 37 Combine like terms: 0 + 37 = 37 -16x = 37 Divide each side by '-16'. x = -2.3125 Simplifying x = -2.3125
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