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Simplifying x + 13 = 6x + -22 Reorder the terms: 13 + x = 6x + -22 Reorder the terms: 13 + x = -22 + 6x Solving 13 + x = -22 + 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. 13 + x + -6x = -22 + 6x + -6x Combine like terms: x + -6x = -5x 13 + -5x = -22 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + -5x = -22 + 0 13 + -5x = -22 Add '-13' to each side of the equation. 13 + -13 + -5x = -22 + -13 Combine like terms: 13 + -13 = 0 0 + -5x = -22 + -13 -5x = -22 + -13 Combine like terms: -22 + -13 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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