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Simplifying 7(2 + -5x) + -2 = -29 + 6x (2 * 7 + -5x * 7) + -2 = -29 + 6x (14 + -35x) + -2 = -29 + 6x Reorder the terms: 14 + -2 + -35x = -29 + 6x Combine like terms: 14 + -2 = 12 12 + -35x = -29 + 6x Solving 12 + -35x = -29 + 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. 12 + -35x + -6x = -29 + 6x + -6x Combine like terms: -35x + -6x = -41x 12 + -41x = -29 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -41x = -29 + 0 12 + -41x = -29 Add '-12' to each side of the equation. 12 + -12 + -41x = -29 + -12 Combine like terms: 12 + -12 = 0 0 + -41x = -29 + -12 -41x = -29 + -12 Combine like terms: -29 + -12 = -41 -41x = -41 Divide each side by '-41'. x = 1 Simplifying x = 1
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