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Simplifying 6x + 5x + -36 = 90 + -7x Reorder the terms: -36 + 6x + 5x = 90 + -7x Combine like terms: 6x + 5x = 11x -36 + 11x = 90 + -7x Solving -36 + 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. -36 + 11x + 7x = 90 + -7x + 7x Combine like terms: 11x + 7x = 18x -36 + 18x = 90 + -7x + 7x Combine like terms: -7x + 7x = 0 -36 + 18x = 90 + 0 -36 + 18x = 90 Add '36' to each side of the equation. -36 + 36 + 18x = 90 + 36 Combine like terms: -36 + 36 = 0 0 + 18x = 90 + 36 18x = 90 + 36 Combine like terms: 90 + 36 = 126 18x = 126 Divide each side by '18'. x = 7 Simplifying x = 7
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