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Simplifying 7(1 + -3x) = 6x + 34 (1 * 7 + -3x * 7) = 6x + 34 (7 + -21x) = 6x + 34 Reorder the terms: 7 + -21x = 34 + 6x Solving 7 + -21x = 34 + 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. 7 + -21x + -6x = 34 + 6x + -6x Combine like terms: -21x + -6x = -27x 7 + -27x = 34 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -27x = 34 + 0 7 + -27x = 34 Add '-7' to each side of the equation. 7 + -7 + -27x = 34 + -7 Combine like terms: 7 + -7 = 0 0 + -27x = 34 + -7 -27x = 34 + -7 Combine like terms: 34 + -7 = 27 -27x = 27 Divide each side by '-27'. x = -1 Simplifying x = -1
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