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Simplifying 2 + 5(x + -5) = -17 + -1x Reorder the terms: 2 + 5(-5 + x) = -17 + -1x 2 + (-5 * 5 + x * 5) = -17 + -1x 2 + (-25 + 5x) = -17 + -1x Combine like terms: 2 + -25 = -23 -23 + 5x = -17 + -1x Solving -23 + 5x = -17 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -23 + 5x + x = -17 + -1x + x Combine like terms: 5x + x = 6x -23 + 6x = -17 + -1x + x Combine like terms: -1x + x = 0 -23 + 6x = -17 + 0 -23 + 6x = -17 Add '23' to each side of the equation. -23 + 23 + 6x = -17 + 23 Combine like terms: -23 + 23 = 0 0 + 6x = -17 + 23 6x = -17 + 23 Combine like terms: -17 + 23 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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