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Simplifying 2(3x + -1) = 3(x + 2) + 4 Reorder the terms: 2(-1 + 3x) = 3(x + 2) + 4 (-1 * 2 + 3x * 2) = 3(x + 2) + 4 (-2 + 6x) = 3(x + 2) + 4 Reorder the terms: -2 + 6x = 3(2 + x) + 4 -2 + 6x = (2 * 3 + x * 3) + 4 -2 + 6x = (6 + 3x) + 4 Reorder the terms: -2 + 6x = 6 + 4 + 3x Combine like terms: 6 + 4 = 10 -2 + 6x = 10 + 3x Solving -2 + 6x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + 6x + -3x = 10 + 3x + -3x Combine like terms: 6x + -3x = 3x -2 + 3x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 3x = 10 + 0 -2 + 3x = 10 Add '2' to each side of the equation. -2 + 2 + 3x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 10 + 2 3x = 10 + 2 Combine like terms: 10 + 2 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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