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Simplifying 6x + 23 = 7x + 1 Reorder the terms: 23 + 6x = 7x + 1 Reorder the terms: 23 + 6x = 1 + 7x Solving 23 + 6x = 1 + 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. 23 + 6x + -7x = 1 + 7x + -7x Combine like terms: 6x + -7x = -1x 23 + -1x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 23 + -1x = 1 + 0 23 + -1x = 1 Add '-23' to each side of the equation. 23 + -23 + -1x = 1 + -23 Combine like terms: 23 + -23 = 0 0 + -1x = 1 + -23 -1x = 1 + -23 Combine like terms: 1 + -23 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22
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