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Simplifying 3x + 13 = 2x + -22 Reorder the terms: 13 + 3x = 2x + -22 Reorder the terms: 13 + 3x = -22 + 2x Solving 13 + 3x = -22 + 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. 13 + 3x + -2x = -22 + 2x + -2x Combine like terms: 3x + -2x = 1x 13 + 1x = -22 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + 1x = -22 + 0 13 + 1x = -22 Add '-13' to each side of the equation. 13 + -13 + 1x = -22 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = -22 + -13 1x = -22 + -13 Combine like terms: -22 + -13 = -35 1x = -35 Divide each side by '1'. x = -35 Simplifying x = -35
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