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Simplifying 13 + 7x = 9x + 22 Reorder the terms: 13 + 7x = 22 + 9x Solving 13 + 7x = 22 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 13 + 7x + -9x = 22 + 9x + -9x Combine like terms: 7x + -9x = -2x 13 + -2x = 22 + 9x + -9x Combine like terms: 9x + -9x = 0 13 + -2x = 22 + 0 13 + -2x = 22 Add '-13' to each side of the equation. 13 + -13 + -2x = 22 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = 22 + -13 -2x = 22 + -13 Combine like terms: 22 + -13 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5
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