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Simplifying -55 + -1x = 35 + -6x Solving -55 + -1x = 35 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -55 + -1x + 6x = 35 + -6x + 6x Combine like terms: -1x + 6x = 5x -55 + 5x = 35 + -6x + 6x Combine like terms: -6x + 6x = 0 -55 + 5x = 35 + 0 -55 + 5x = 35 Add '55' to each side of the equation. -55 + 55 + 5x = 35 + 55 Combine like terms: -55 + 55 = 0 0 + 5x = 35 + 55 5x = 35 + 55 Combine like terms: 35 + 55 = 90 5x = 90 Divide each side by '5'. x = 18 Simplifying x = 18
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