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Simplifying 3x + -5(x + -5) = -9 + 2x + 22 Reorder the terms: 3x + -5(-5 + x) = -9 + 2x + 22 3x + (-5 * -5 + x * -5) = -9 + 2x + 22 3x + (25 + -5x) = -9 + 2x + 22 Reorder the terms: 25 + 3x + -5x = -9 + 2x + 22 Combine like terms: 3x + -5x = -2x 25 + -2x = -9 + 2x + 22 Reorder the terms: 25 + -2x = -9 + 22 + 2x Combine like terms: -9 + 22 = 13 25 + -2x = 13 + 2x Solving 25 + -2x = 13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 25 + -2x + -2x = 13 + 2x + -2x Combine like terms: -2x + -2x = -4x 25 + -4x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 25 + -4x = 13 + 0 25 + -4x = 13 Add '-25' to each side of the equation. 25 + -25 + -4x = 13 + -25 Combine like terms: 25 + -25 = 0 0 + -4x = 13 + -25 -4x = 13 + -25 Combine like terms: 13 + -25 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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