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Simplifying 3x + 9 = -54 + -6x Reorder the terms: 9 + 3x = -54 + -6x Solving 9 + 3x = -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. 9 + 3x + 6x = -54 + -6x + 6x Combine like terms: 3x + 6x = 9x 9 + 9x = -54 + -6x + 6x Combine like terms: -6x + 6x = 0 9 + 9x = -54 + 0 9 + 9x = -54 Add '-9' to each side of the equation. 9 + -9 + 9x = -54 + -9 Combine like terms: 9 + -9 = 0 0 + 9x = -54 + -9 9x = -54 + -9 Combine like terms: -54 + -9 = -63 9x = -63 Divide each side by '9'. x = -7 Simplifying x = -7
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