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Simplifying 7(9x + -5) = 12(5x + -6) Reorder the terms: 7(-5 + 9x) = 12(5x + -6) (-5 * 7 + 9x * 7) = 12(5x + -6) (-35 + 63x) = 12(5x + -6) Reorder the terms: -35 + 63x = 12(-6 + 5x) -35 + 63x = (-6 * 12 + 5x * 12) -35 + 63x = (-72 + 60x) Solving -35 + 63x = -72 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. -35 + 63x + -60x = -72 + 60x + -60x Combine like terms: 63x + -60x = 3x -35 + 3x = -72 + 60x + -60x Combine like terms: 60x + -60x = 0 -35 + 3x = -72 + 0 -35 + 3x = -72 Add '35' to each side of the equation. -35 + 35 + 3x = -72 + 35 Combine like terms: -35 + 35 = 0 0 + 3x = -72 + 35 3x = -72 + 35 Combine like terms: -72 + 35 = -37 3x = -37 Divide each side by '3'. x = -12.33333333 Simplifying x = -12.33333333
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