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Simplifying -6 + 6x + 7 = 7(x + 2) + -13 Reorder the terms: -6 + 7 + 6x = 7(x + 2) + -13 Combine like terms: -6 + 7 = 1 1 + 6x = 7(x + 2) + -13 Reorder the terms: 1 + 6x = 7(2 + x) + -13 1 + 6x = (2 * 7 + x * 7) + -13 1 + 6x = (14 + 7x) + -13 Reorder the terms: 1 + 6x = 14 + -13 + 7x Combine like terms: 14 + -13 = 1 1 + 6x = 1 + 7x Add '-1' to each side of the equation. 1 + -1 + 6x = 1 + -1 + 7x Combine like terms: 1 + -1 = 0 0 + 6x = 1 + -1 + 7x 6x = 1 + -1 + 7x Combine like terms: 1 + -1 = 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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