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Simplifying 10x + -11x + 54 = -6 + 9x Reorder the terms: 54 + 10x + -11x = -6 + 9x Combine like terms: 10x + -11x = -1x 54 + -1x = -6 + 9x Solving 54 + -1x = -6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 54 + -1x + -9x = -6 + 9x + -9x Combine like terms: -1x + -9x = -10x 54 + -10x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 54 + -10x = -6 + 0 54 + -10x = -6 Add '-54' to each side of the equation. 54 + -54 + -10x = -6 + -54 Combine like terms: 54 + -54 = 0 0 + -10x = -6 + -54 -10x = -6 + -54 Combine like terms: -6 + -54 = -60 -10x = -60 Divide each side by '-10'. x = 6 Simplifying x = 6
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