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Simplifying 2(x + 3) = 1 + -4x Reorder the terms: 2(3 + x) = 1 + -4x (3 * 2 + x * 2) = 1 + -4x (6 + 2x) = 1 + -4x Solving 6 + 2x = 1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 6 + 2x + 4x = 1 + -4x + 4x Combine like terms: 2x + 4x = 6x 6 + 6x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 6x = 1 + 0 6 + 6x = 1 Add '-6' to each side of the equation. 6 + -6 + 6x = 1 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 1 + -6 6x = 1 + -6 Combine like terms: 1 + -6 = -5 6x = -5 Divide each side by '6'. x = -0.8333333333 Simplifying x = -0.8333333333
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