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