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Simplifying 6(x + 5) = 9(3x + -6) Reorder the terms: 6(5 + x) = 9(3x + -6) (5 * 6 + x * 6) = 9(3x + -6) (30 + 6x) = 9(3x + -6) Reorder the terms: 30 + 6x = 9(-6 + 3x) 30 + 6x = (-6 * 9 + 3x * 9) 30 + 6x = (-54 + 27x) Solving 30 + 6x = -54 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 30 + 6x + -27x = -54 + 27x + -27x Combine like terms: 6x + -27x = -21x 30 + -21x = -54 + 27x + -27x Combine like terms: 27x + -27x = 0 30 + -21x = -54 + 0 30 + -21x = -54 Add '-30' to each side of the equation. 30 + -30 + -21x = -54 + -30 Combine like terms: 30 + -30 = 0 0 + -21x = -54 + -30 -21x = -54 + -30 Combine like terms: -54 + -30 = -84 -21x = -84 Divide each side by '-21'. x = 4 Simplifying x = 4
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