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Simplifying -5(1 + -7x) = 29 + x (1 * -5 + -7x * -5) = 29 + x (-5 + 35x) = 29 + x Solving -5 + 35x = 29 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + 35x + -1x = 29 + x + -1x Combine like terms: 35x + -1x = 34x -5 + 34x = 29 + x + -1x Combine like terms: x + -1x = 0 -5 + 34x = 29 + 0 -5 + 34x = 29 Add '5' to each side of the equation. -5 + 5 + 34x = 29 + 5 Combine like terms: -5 + 5 = 0 0 + 34x = 29 + 5 34x = 29 + 5 Combine like terms: 29 + 5 = 34 34x = 34 Divide each side by '34'. x = 1 Simplifying x = 1
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