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Simplifying 7x + 4x + -54 = 72 + -7x Reorder the terms: -54 + 7x + 4x = 72 + -7x Combine like terms: 7x + 4x = 11x -54 + 11x = 72 + -7x Solving -54 + 11x = 72 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -54 + 11x + 7x = 72 + -7x + 7x Combine like terms: 11x + 7x = 18x -54 + 18x = 72 + -7x + 7x Combine like terms: -7x + 7x = 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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