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Simplifying 6(1 + 8x) = -34 + 8x (1 * 6 + 8x * 6) = -34 + 8x (6 + 48x) = -34 + 8x Solving 6 + 48x = -34 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + 48x + -8x = -34 + 8x + -8x Combine like terms: 48x + -8x = 40x 6 + 40x = -34 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + 40x = -34 + 0 6 + 40x = -34 Add '-6' to each side of the equation. 6 + -6 + 40x = -34 + -6 Combine like terms: 6 + -6 = 0 0 + 40x = -34 + -6 40x = -34 + -6 Combine like terms: -34 + -6 = -40 40x = -40 Divide each side by '40'. x = -1 Simplifying x = -1
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