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Simplifying 5x + 7x + -54 = 72 + -6x Reorder the terms: -54 + 5x + 7x = 72 + -6x Combine like terms: 5x + 7x = 12x -54 + 12x = 72 + -6x Solving -54 + 12x = 72 + -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. -54 + 12x + 6x = 72 + -6x + 6x Combine like terms: 12x + 6x = 18x -54 + 18x = 72 + -6x + 6x Combine like terms: -6x + 6x = 0 -54 + 18x = 72 + 0 -54 + 18x = 72 Add '54' to each side of the equation. -54 + 54 + 18x = 72 + 54 Combine like terms: -54 + 54 = 0 0 + 18x = 72 + 54 18x = 72 + 54 Combine like terms: 72 + 54 = 126 18x = 126 Divide each side by '18'. x = 7 Simplifying x = 7
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