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Simplifying 9(4x + -1) = 7(2x + 5) Reorder the terms: 9(-1 + 4x) = 7(2x + 5) (-1 * 9 + 4x * 9) = 7(2x + 5) (-9 + 36x) = 7(2x + 5) Reorder the terms: -9 + 36x = 7(5 + 2x) -9 + 36x = (5 * 7 + 2x * 7) -9 + 36x = (35 + 14x) Solving -9 + 36x = 35 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -9 + 36x + -14x = 35 + 14x + -14x Combine like terms: 36x + -14x = 22x -9 + 22x = 35 + 14x + -14x Combine like terms: 14x + -14x = 0 -9 + 22x = 35 + 0 -9 + 22x = 35 Add '9' to each side of the equation. -9 + 9 + 22x = 35 + 9 Combine like terms: -9 + 9 = 0 0 + 22x = 35 + 9 22x = 35 + 9 Combine like terms: 35 + 9 = 44 22x = 44 Divide each side by '22'. x = 2 Simplifying x = 2
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