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Simplifying 3(2x + -1) + -2(x + 2) = 1 Reorder the terms: 3(-1 + 2x) + -2(x + 2) = 1 (-1 * 3 + 2x * 3) + -2(x + 2) = 1 (-3 + 6x) + -2(x + 2) = 1 Reorder the terms: -3 + 6x + -2(2 + x) = 1 -3 + 6x + (2 * -2 + x * -2) = 1 -3 + 6x + (-4 + -2x) = 1 Reorder the terms: -3 + -4 + 6x + -2x = 1 Combine like terms: -3 + -4 = -7 -7 + 6x + -2x = 1 Combine like terms: 6x + -2x = 4x -7 + 4x = 1 Solving -7 + 4x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 1 + 7 4x = 1 + 7 Combine like terms: 1 + 7 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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