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Simplifying 6x + 2 = 3(-7x + 1) Reorder the terms: 2 + 6x = 3(-7x + 1) Reorder the terms: 2 + 6x = 3(1 + -7x) 2 + 6x = (1 * 3 + -7x * 3) 2 + 6x = (3 + -21x) Solving 2 + 6x = 3 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 2 + 6x + 21x = 3 + -21x + 21x Combine like terms: 6x + 21x = 27x 2 + 27x = 3 + -21x + 21x Combine like terms: -21x + 21x = 0 2 + 27x = 3 + 0 2 + 27x = 3 Add '-2' to each side of the equation. 2 + -2 + 27x = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 27x = 3 + -2 27x = 3 + -2 Combine like terms: 3 + -2 = 1 27x = 1 Divide each side by '27'. x = 0.03703703704 Simplifying x = 0.03703703704
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