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Simplifying 6(6 + 6x) = x + -34 (6 * 6 + 6x * 6) = x + -34 (36 + 36x) = x + -34 Reorder the terms: 36 + 36x = -34 + x Solving 36 + 36x = -34 + 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. 36 + 36x + -1x = -34 + x + -1x Combine like terms: 36x + -1x = 35x 36 + 35x = -34 + x + -1x Combine like terms: x + -1x = 0 36 + 35x = -34 + 0 36 + 35x = -34 Add '-36' to each side of the equation. 36 + -36 + 35x = -34 + -36 Combine like terms: 36 + -36 = 0 0 + 35x = -34 + -36 35x = -34 + -36 Combine like terms: -34 + -36 = -70 35x = -70 Divide each side by '35'. x = -2 Simplifying x = -2
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