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Simplifying 2(1 + 3x) = 5(x + -1) (1 * 2 + 3x * 2) = 5(x + -1) (2 + 6x) = 5(x + -1) Reorder the terms: 2 + 6x = 5(-1 + x) 2 + 6x = (-1 * 5 + x * 5) 2 + 6x = (-5 + 5x) Solving 2 + 6x = -5 + 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. 2 + 6x + -5x = -5 + 5x + -5x Combine like terms: 6x + -5x = 1x 2 + 1x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 1x = -5 + 0 2 + 1x = -5 Add '-2' to each side of the equation. 2 + -2 + 1x = -5 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -5 + -2 1x = -5 + -2 Combine like terms: -5 + -2 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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