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Simplifying 13 + -3x = 6x + 22 Reorder the terms: 13 + -3x = 22 + 6x Solving 13 + -3x = 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 + -3x + -6x = 22 + 6x + -6x Combine like terms: -3x + -6x = -9x 13 + -9x = 22 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + -9x = 22 + 0 13 + -9x = 22 Add '-13' to each side of the equation. 13 + -13 + -9x = 22 + -13 Combine like terms: 13 + -13 = 0 0 + -9x = 22 + -13 -9x = 22 + -13 Combine like terms: 22 + -13 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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