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Simplifying 2(2x + -1) + -4(3x + 1) = 2 Reorder the terms: 2(-1 + 2x) + -4(3x + 1) = 2 (-1 * 2 + 2x * 2) + -4(3x + 1) = 2 (-2 + 4x) + -4(3x + 1) = 2 Reorder the terms: -2 + 4x + -4(1 + 3x) = 2 -2 + 4x + (1 * -4 + 3x * -4) = 2 -2 + 4x + (-4 + -12x) = 2 Reorder the terms: -2 + -4 + 4x + -12x = 2 Combine like terms: -2 + -4 = -6 -6 + 4x + -12x = 2 Combine like terms: 4x + -12x = -8x -6 + -8x = 2 Solving -6 + -8x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -8x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = 2 + 6 -8x = 2 + 6 Combine like terms: 2 + 6 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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