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Simplifying -2(3x + -4) + -1(2 + 2x) = 22 Reorder the terms: -2(-4 + 3x) + -1(2 + 2x) = 22 (-4 * -2 + 3x * -2) + -1(2 + 2x) = 22 (8 + -6x) + -1(2 + 2x) = 22 8 + -6x + (2 * -1 + 2x * -1) = 22 8 + -6x + (-2 + -2x) = 22 Reorder the terms: 8 + -2 + -6x + -2x = 22 Combine like terms: 8 + -2 = 6 6 + -6x + -2x = 22 Combine like terms: -6x + -2x = -8x 6 + -8x = 22 Solving 6 + -8x = 22 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 = 22 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = 22 + -6 -8x = 22 + -6 Combine like terms: 22 + -6 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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