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Simplifying 2 + -5(x + 5) = (x + 2) + -1 Reorder the terms: 2 + -5(5 + x) = (x + 2) + -1 2 + (5 * -5 + x * -5) = (x + 2) + -1 2 + (-25 + -5x) = (x + 2) + -1 Combine like terms: 2 + -25 = -23 -23 + -5x = (x + 2) + -1 Reorder the terms: -23 + -5x = (2 + x) + -1 Remove parenthesis around (2 + x) -23 + -5x = 2 + x + -1 Reorder the terms: -23 + -5x = 2 + -1 + x Combine like terms: 2 + -1 = 1 -23 + -5x = 1 + x Solving -23 + -5x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -23 + -5x + -1x = 1 + x + -1x Combine like terms: -5x + -1x = -6x -23 + -6x = 1 + x + -1x Combine like terms: x + -1x = 0 -23 + -6x = 1 + 0 -23 + -6x = 1 Add '23' to each side of the equation. -23 + 23 + -6x = 1 + 23 Combine like terms: -23 + 23 = 0 0 + -6x = 1 + 23 -6x = 1 + 23 Combine like terms: 1 + 23 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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