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Simplifying 6x + 7x + -36 = 54 + -5x Reorder the terms: -36 + 6x + 7x = 54 + -5x Combine like terms: 6x + 7x = 13x -36 + 13x = 54 + -5x Solving -36 + 13x = 54 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -36 + 13x + 5x = 54 + -5x + 5x Combine like terms: 13x + 5x = 18x -36 + 18x = 54 + -5x + 5x Combine like terms: -5x + 5x = 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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