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Simplifying 3(2x + -1) = 2(x + 1) + 3 Reorder the terms: 3(-1 + 2x) = 2(x + 1) + 3 (-1 * 3 + 2x * 3) = 2(x + 1) + 3 (-3 + 6x) = 2(x + 1) + 3 Reorder the terms: -3 + 6x = 2(1 + x) + 3 -3 + 6x = (1 * 2 + x * 2) + 3 -3 + 6x = (2 + 2x) + 3 Reorder the terms: -3 + 6x = 2 + 3 + 2x Combine like terms: 2 + 3 = 5 -3 + 6x = 5 + 2x Solving -3 + 6x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + 6x + -2x = 5 + 2x + -2x Combine like terms: 6x + -2x = 4x -3 + 4x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 4x = 5 + 0 -3 + 4x = 5 Add '3' to each side of the equation. -3 + 3 + 4x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 5 + 3 4x = 5 + 3 Combine like terms: 5 + 3 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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