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Simplifying 5(6x + -7) = 9(4x + 8) Reorder the terms: 5(-7 + 6x) = 9(4x + 8) (-7 * 5 + 6x * 5) = 9(4x + 8) (-35 + 30x) = 9(4x + 8) Reorder the terms: -35 + 30x = 9(8 + 4x) -35 + 30x = (8 * 9 + 4x * 9) -35 + 30x = (72 + 36x) Solving -35 + 30x = 72 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -35 + 30x + -36x = 72 + 36x + -36x Combine like terms: 30x + -36x = -6x -35 + -6x = 72 + 36x + -36x Combine like terms: 36x + -36x = 0 -35 + -6x = 72 + 0 -35 + -6x = 72 Add '35' to each side of the equation. -35 + 35 + -6x = 72 + 35 Combine like terms: -35 + 35 = 0 0 + -6x = 72 + 35 -6x = 72 + 35 Combine like terms: 72 + 35 = 107 -6x = 107 Divide each side by '-6'. x = -17.83333333 Simplifying x = -17.83333333
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