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Simplifying 6(2x + -9) = 5(x + -1) Reorder the terms: 6(-9 + 2x) = 5(x + -1) (-9 * 6 + 2x * 6) = 5(x + -1) (-54 + 12x) = 5(x + -1) Reorder the terms: -54 + 12x = 5(-1 + x) -54 + 12x = (-1 * 5 + x * 5) -54 + 12x = (-5 + 5x) Solving -54 + 12x = -5 + 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. -54 + 12x + -5x = -5 + 5x + -5x Combine like terms: 12x + -5x = 7x -54 + 7x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -54 + 7x = -5 + 0 -54 + 7x = -5 Add '54' to each side of the equation. -54 + 54 + 7x = -5 + 54 Combine like terms: -54 + 54 = 0 0 + 7x = -5 + 54 7x = -5 + 54 Combine like terms: -5 + 54 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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