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Simplifying 2x + -5(x + -5) = -9 + 5x + -22 Reorder the terms: 2x + -5(-5 + x) = -9 + 5x + -22 2x + (-5 * -5 + x * -5) = -9 + 5x + -22 2x + (25 + -5x) = -9 + 5x + -22 Reorder the terms: 25 + 2x + -5x = -9 + 5x + -22 Combine like terms: 2x + -5x = -3x 25 + -3x = -9 + 5x + -22 Reorder the terms: 25 + -3x = -9 + -22 + 5x Combine like terms: -9 + -22 = -31 25 + -3x = -31 + 5x Solving 25 + -3x = -31 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 25 + -3x + -5x = -31 + 5x + -5x Combine like terms: -3x + -5x = -8x 25 + -8x = -31 + 5x + -5x Combine like terms: 5x + -5x = 0 25 + -8x = -31 + 0 25 + -8x = -31 Add '-25' to each side of the equation. 25 + -25 + -8x = -31 + -25 Combine like terms: 25 + -25 = 0 0 + -8x = -31 + -25 -8x = -31 + -25 Combine like terms: -31 + -25 = -56 -8x = -56 Divide each side by '-8'. x = 7 Simplifying x = 7
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