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Simplifying 34 + -6x = -7(6 + -5x) 34 + -6x = (6 * -7 + -5x * -7) 34 + -6x = (-42 + 35x) Solving 34 + -6x = -42 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 34 + -6x + -35x = -42 + 35x + -35x Combine like terms: -6x + -35x = -41x 34 + -41x = -42 + 35x + -35x Combine like terms: 35x + -35x = 0 34 + -41x = -42 + 0 34 + -41x = -42 Add '-34' to each side of the equation. 34 + -34 + -41x = -42 + -34 Combine like terms: 34 + -34 = 0 0 + -41x = -42 + -34 -41x = -42 + -34 Combine like terms: -42 + -34 = -76 -41x = -76 Divide each side by '-41'. x = 1.853658537 Simplifying x = 1.853658537
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