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Simplifying -54 + 9x = -2x + 100 Reorder the terms: -54 + 9x = 100 + -2x Solving -54 + 9x = 100 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -54 + 9x + 2x = 100 + -2x + 2x Combine like terms: 9x + 2x = 11x -54 + 11x = 100 + -2x + 2x Combine like terms: -2x + 2x = 0 -54 + 11x = 100 + 0 -54 + 11x = 100 Add '54' to each side of the equation. -54 + 54 + 11x = 100 + 54 Combine like terms: -54 + 54 = 0 0 + 11x = 100 + 54 11x = 100 + 54 Combine like terms: 100 + 54 = 154 11x = 154 Divide each side by '11'. x = 14 Simplifying x = 14
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