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Simplifying 6(x + -9) = 5(x + -9) Reorder the terms: 6(-9 + x) = 5(x + -9) (-9 * 6 + x * 6) = 5(x + -9) (-54 + 6x) = 5(x + -9) Reorder the terms: -54 + 6x = 5(-9 + x) -54 + 6x = (-9 * 5 + x * 5) -54 + 6x = (-45 + 5x) Solving -54 + 6x = -45 + 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 + 6x + -5x = -45 + 5x + -5x Combine like terms: 6x + -5x = 1x -54 + 1x = -45 + 5x + -5x Combine like terms: 5x + -5x = 0 -54 + 1x = -45 + 0 -54 + 1x = -45 Add '54' to each side of the equation. -54 + 54 + 1x = -45 + 54 Combine like terms: -54 + 54 = 0 0 + 1x = -45 + 54 1x = -45 + 54 Combine like terms: -45 + 54 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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