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