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Simplifying 3(2x + -1) + 2(x + -1) = 11 Reorder the terms: 3(-1 + 2x) + 2(x + -1) = 11 (-1 * 3 + 2x * 3) + 2(x + -1) = 11 (-3 + 6x) + 2(x + -1) = 11 Reorder the terms: -3 + 6x + 2(-1 + x) = 11 -3 + 6x + (-1 * 2 + x * 2) = 11 -3 + 6x + (-2 + 2x) = 11 Reorder the terms: -3 + -2 + 6x + 2x = 11 Combine like terms: -3 + -2 = -5 -5 + 6x + 2x = 11 Combine like terms: 6x + 2x = 8x -5 + 8x = 11 Solving -5 + 8x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 8x = 11 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = 11 + 5 8x = 11 + 5 Combine like terms: 11 + 5 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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