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Simplifying 65x + 55(x + -1) = 290 Reorder the terms: 65x + 55(-1 + x) = 290 65x + (-1 * 55 + x * 55) = 290 65x + (-55 + 55x) = 290 Reorder the terms: -55 + 65x + 55x = 290 Combine like terms: 65x + 55x = 120x -55 + 120x = 290 Solving -55 + 120x = 290 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + 120x = 290 + 55 Combine like terms: -55 + 55 = 0 0 + 120x = 290 + 55 120x = 290 + 55 Combine like terms: 290 + 55 = 345 120x = 345 Divide each side by '120'. x = 2.875 Simplifying x = 2.875
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