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Simplifying 4(2x + -1) + 2(2x + -3) = -22 Reorder the terms: 4(-1 + 2x) + 2(2x + -3) = -22 (-1 * 4 + 2x * 4) + 2(2x + -3) = -22 (-4 + 8x) + 2(2x + -3) = -22 Reorder the terms: -4 + 8x + 2(-3 + 2x) = -22 -4 + 8x + (-3 * 2 + 2x * 2) = -22 -4 + 8x + (-6 + 4x) = -22 Reorder the terms: -4 + -6 + 8x + 4x = -22 Combine like terms: -4 + -6 = -10 -10 + 8x + 4x = -22 Combine like terms: 8x + 4x = 12x -10 + 12x = -22 Solving -10 + 12x = -22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 12x = -22 + 10 Combine like terms: -10 + 10 = 0 0 + 12x = -22 + 10 12x = -22 + 10 Combine like terms: -22 + 10 = -12 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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