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Simplifying 6x + 1 = 7x + 13 Reorder the terms: 1 + 6x = 7x + 13 Reorder the terms: 1 + 6x = 13 + 7x Solving 1 + 6x = 13 + 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. 1 + 6x + -7x = 13 + 7x + -7x Combine like terms: 6x + -7x = -1x 1 + -1x = 13 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -1x = 13 + 0 1 + -1x = 13 Add '-1' to each side of the equation. 1 + -1 + -1x = 13 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 13 + -1 -1x = 13 + -1 Combine like terms: 13 + -1 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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