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Simplifying 3x + 54 = -2x + 9 Reorder the terms: 54 + 3x = -2x + 9 Reorder the terms: 54 + 3x = 9 + -2x Solving 54 + 3x = 9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 54 + 3x + 2x = 9 + -2x + 2x Combine like terms: 3x + 2x = 5x 54 + 5x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 54 + 5x = 9 + 0 54 + 5x = 9 Add '-54' to each side of the equation. 54 + -54 + 5x = 9 + -54 Combine like terms: 54 + -54 = 0 0 + 5x = 9 + -54 5x = 9 + -54 Combine like terms: 9 + -54 = -45 5x = -45 Divide each side by '5'. x = -9 Simplifying x = -9
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