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Simplifying -2x + -7 + 7(x + 1) = 6x + -1 Reorder the terms: -2x + -7 + 7(1 + x) = 6x + -1 -2x + -7 + (1 * 7 + x * 7) = 6x + -1 -2x + -7 + (7 + 7x) = 6x + -1 Reorder the terms: -7 + 7 + -2x + 7x = 6x + -1 Combine like terms: -7 + 7 = 0 0 + -2x + 7x = 6x + -1 -2x + 7x = 6x + -1 Combine like terms: -2x + 7x = 5x 5x = 6x + -1 Reorder the terms: 5x = -1 + 6x Solving 5x = -1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5x + -6x = -1 + 6x + -6x Combine like terms: 5x + -6x = -1x -1x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 -1x = -1 + 0 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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