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Simplifying 5(7 + -7x) + 5 = 76 + -29x (7 * 5 + -7x * 5) + 5 = 76 + -29x (35 + -35x) + 5 = 76 + -29x Reorder the terms: 35 + 5 + -35x = 76 + -29x Combine like terms: 35 + 5 = 40 40 + -35x = 76 + -29x Solving 40 + -35x = 76 + -29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29x' to each side of the equation. 40 + -35x + 29x = 76 + -29x + 29x Combine like terms: -35x + 29x = -6x 40 + -6x = 76 + -29x + 29x Combine like terms: -29x + 29x = 0 40 + -6x = 76 + 0 40 + -6x = 76 Add '-40' to each side of the equation. 40 + -40 + -6x = 76 + -40 Combine like terms: 40 + -40 = 0 0 + -6x = 76 + -40 -6x = 76 + -40 Combine like terms: 76 + -40 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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