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Simplifying 2 + 5(x + -5) = 6(x + -1) Reorder the terms: 2 + 5(-5 + x) = 6(x + -1) 2 + (-5 * 5 + x * 5) = 6(x + -1) 2 + (-25 + 5x) = 6(x + -1) Combine like terms: 2 + -25 = -23 -23 + 5x = 6(x + -1) Reorder the terms: -23 + 5x = 6(-1 + x) -23 + 5x = (-1 * 6 + x * 6) -23 + 5x = (-6 + 6x) Solving -23 + 5x = -6 + 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. -23 + 5x + -6x = -6 + 6x + -6x Combine like terms: 5x + -6x = -1x -23 + -1x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -23 + -1x = -6 + 0 -23 + -1x = -6 Add '23' to each side of the equation. -23 + 23 + -1x = -6 + 23 Combine like terms: -23 + 23 = 0 0 + -1x = -6 + 23 -1x = -6 + 23 Combine like terms: -6 + 23 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17
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