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