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Simplifying -29 = 7(x + 1) + -1x Reorder the terms: -29 = 7(1 + x) + -1x -29 = (1 * 7 + x * 7) + -1x -29 = (7 + 7x) + -1x Combine like terms: 7x + -1x = 6x -29 = 7 + 6x Solving -29 = 7 + 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. -29 + -6x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -29 + -6x = 7 + 0 -29 + -6x = 7 Add '29' to each side of the equation. -29 + 29 + -6x = 7 + 29 Combine like terms: -29 + 29 = 0 0 + -6x = 7 + 29 -6x = 7 + 29 Combine like terms: 7 + 29 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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