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Simplifying 7x + 15 = 6x + 22 Reorder the terms: 15 + 7x = 6x + 22 Reorder the terms: 15 + 7x = 22 + 6x Solving 15 + 7x = 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. 15 + 7x + -6x = 22 + 6x + -6x Combine like terms: 7x + -6x = 1x 15 + 1x = 22 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + 1x = 22 + 0 15 + 1x = 22 Add '-15' to each side of the equation. 15 + -15 + 1x = 22 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 22 + -15 1x = 22 + -15 Combine like terms: 22 + -15 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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