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Simplifying 5x + 6x + -54 = 90 + -7x Reorder the terms: -54 + 5x + 6x = 90 + -7x Combine like terms: 5x + 6x = 11x -54 + 11x = 90 + -7x Solving -54 + 11x = 90 + -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 = 90 + -7x + 7x Combine like terms: 11x + 7x = 18x -54 + 18x = 90 + -7x + 7x Combine like terms: -7x + 7x = 0 -54 + 18x = 90 + 0 -54 + 18x = 90 Add '54' to each side of the equation. -54 + 54 + 18x = 90 + 54 Combine like terms: -54 + 54 = 0 0 + 18x = 90 + 54 18x = 90 + 54 Combine like terms: 90 + 54 = 144 18x = 144 Divide each side by '18'. x = 8 Simplifying x = 8
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