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Simplifying 6x + 5x + -54 = 36 + -7x Reorder the terms: -54 + 6x + 5x = 36 + -7x Combine like terms: 6x + 5x = 11x -54 + 11x = 36 + -7x Solving -54 + 11x = 36 + -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 = 36 + -7x + 7x Combine like terms: 11x + 7x = 18x -54 + 18x = 36 + -7x + 7x Combine like terms: -7x + 7x = 0 -54 + 18x = 36 + 0 -54 + 18x = 36 Add '54' to each side of the equation. -54 + 54 + 18x = 36 + 54 Combine like terms: -54 + 54 = 0 0 + 18x = 36 + 54 18x = 36 + 54 Combine like terms: 36 + 54 = 90 18x = 90 Divide each side by '18'. x = 5 Simplifying x = 5
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