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Simplifying 2(3x + -1) = 5(x + 2) Reorder the terms: 2(-1 + 3x) = 5(x + 2) (-1 * 2 + 3x * 2) = 5(x + 2) (-2 + 6x) = 5(x + 2) Reorder the terms: -2 + 6x = 5(2 + x) -2 + 6x = (2 * 5 + x * 5) -2 + 6x = (10 + 5x) Solving -2 + 6x = 10 + 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 = 10 + 5x + -5x Combine like terms: 6x + -5x = 1x -2 + 1x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + 1x = 10 + 0 -2 + 1x = 10 Add '2' to each side of the equation. -2 + 2 + 1x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 10 + 2 1x = 10 + 2 Combine like terms: 10 + 2 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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