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Simplifying 3(2x + 1) = 1 + -5(1 + -1x) Reorder the terms: 3(1 + 2x) = 1 + -5(1 + -1x) (1 * 3 + 2x * 3) = 1 + -5(1 + -1x) (3 + 6x) = 1 + -5(1 + -1x) 3 + 6x = 1 + (1 * -5 + -1x * -5) 3 + 6x = 1 + (-5 + 5x) Combine like terms: 1 + -5 = -4 3 + 6x = -4 + 5x Solving 3 + 6x = -4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3 + 6x + -5x = -4 + 5x + -5x Combine like terms: 6x + -5x = 1x 3 + 1x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + 1x = -4 + 0 3 + 1x = -4 Add '-3' to each side of the equation. 3 + -3 + 1x = -4 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = -4 + -3 1x = -4 + -3 Combine like terms: -4 + -3 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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