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Simplifying 2(4x + -9) = 5(x + -4) Reorder the terms: 2(-9 + 4x) = 5(x + -4) (-9 * 2 + 4x * 2) = 5(x + -4) (-18 + 8x) = 5(x + -4) Reorder the terms: -18 + 8x = 5(-4 + x) -18 + 8x = (-4 * 5 + x * 5) -18 + 8x = (-20 + 5x) Solving -18 + 8x = -20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -18 + 8x + -5x = -20 + 5x + -5x Combine like terms: 8x + -5x = 3x -18 + 3x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + 3x = -20 + 0 -18 + 3x = -20 Add '18' to each side of the equation. -18 + 18 + 3x = -20 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = -20 + 18 3x = -20 + 18 Combine like terms: -20 + 18 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667
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