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Simplifying 5(x + -6) = 6(x + 9) Reorder the terms: 5(-6 + x) = 6(x + 9) (-6 * 5 + x * 5) = 6(x + 9) (-30 + 5x) = 6(x + 9) Reorder the terms: -30 + 5x = 6(9 + x) -30 + 5x = (9 * 6 + x * 6) -30 + 5x = (54 + 6x) Solving -30 + 5x = 54 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -30 + 5x + -6x = 54 + 6x + -6x Combine like terms: 5x + -6x = -1x -30 + -1x = 54 + 6x + -6x Combine like terms: 6x + -6x = 0 -30 + -1x = 54 + 0 -30 + -1x = 54 Add '30' to each side of the equation. -30 + 30 + -1x = 54 + 30 Combine like terms: -30 + 30 = 0 0 + -1x = 54 + 30 -1x = 54 + 30 Combine like terms: 54 + 30 = 84 -1x = 84 Divide each side by '-1'. x = -84 Simplifying x = -84
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