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Simplifying 6x + 54 = 9x + 45 Reorder the terms: 54 + 6x = 9x + 45 Reorder the terms: 54 + 6x = 45 + 9x Solving 54 + 6x = 45 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 54 + 6x + -9x = 45 + 9x + -9x Combine like terms: 6x + -9x = -3x 54 + -3x = 45 + 9x + -9x Combine like terms: 9x + -9x = 0 54 + -3x = 45 + 0 54 + -3x = 45 Add '-54' to each side of the equation. 54 + -54 + -3x = 45 + -54 Combine like terms: 54 + -54 = 0 0 + -3x = 45 + -54 -3x = 45 + -54 Combine like terms: 45 + -54 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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