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Simplifying 6x + 21 = 7x + 34 Reorder the terms: 21 + 6x = 7x + 34 Reorder the terms: 21 + 6x = 34 + 7x Solving 21 + 6x = 34 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 21 + 6x + -7x = 34 + 7x + -7x Combine like terms: 6x + -7x = -1x 21 + -1x = 34 + 7x + -7x Combine like terms: 7x + -7x = 0 21 + -1x = 34 + 0 21 + -1x = 34 Add '-21' to each side of the equation. 21 + -21 + -1x = 34 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = 34 + -21 -1x = 34 + -21 Combine like terms: 34 + -21 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13
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