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Simplifying 5x + 8x + -54 = 36 + -5x Reorder the terms: -54 + 5x + 8x = 36 + -5x Combine like terms: 5x + 8x = 13x -54 + 13x = 36 + -5x Solving -54 + 13x = 36 + -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. -54 + 13x + 5x = 36 + -5x + 5x Combine like terms: 13x + 5x = 18x -54 + 18x = 36 + -5x + 5x Combine like terms: -5x + 5x = 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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