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Simplifying 5(x + -9) = 4(x + 9) Reorder the terms: 5(-9 + x) = 4(x + 9) (-9 * 5 + x * 5) = 4(x + 9) (-45 + 5x) = 4(x + 9) Reorder the terms: -45 + 5x = 4(9 + x) -45 + 5x = (9 * 4 + x * 4) -45 + 5x = (36 + 4x) Solving -45 + 5x = 36 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -45 + 5x + -4x = 36 + 4x + -4x Combine like terms: 5x + -4x = 1x -45 + 1x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 -45 + 1x = 36 + 0 -45 + 1x = 36 Add '45' to each side of the equation. -45 + 45 + 1x = 36 + 45 Combine like terms: -45 + 45 = 0 0 + 1x = 36 + 45 1x = 36 + 45 Combine like terms: 36 + 45 = 81 1x = 81 Divide each side by '1'. x = 81 Simplifying x = 81
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