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Simplifying 6x + 12 = 7x + 1 Reorder the terms: 12 + 6x = 7x + 1 Reorder the terms: 12 + 6x = 1 + 7x Solving 12 + 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. 12 + 6x + -7x = 1 + 7x + -7x Combine like terms: 6x + -7x = -1x 12 + -1x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -1x = 1 + 0 12 + -1x = 1 Add '-12' to each side of the equation. 12 + -12 + -1x = 1 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 1 + -12 -1x = 1 + -12 Combine like terms: 1 + -12 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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