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Simplifying -4(x + 3) + 2(x + -1) = 22 Reorder the terms: -4(3 + x) + 2(x + -1) = 22 (3 * -4 + x * -4) + 2(x + -1) = 22 (-12 + -4x) + 2(x + -1) = 22 Reorder the terms: -12 + -4x + 2(-1 + x) = 22 -12 + -4x + (-1 * 2 + x * 2) = 22 -12 + -4x + (-2 + 2x) = 22 Reorder the terms: -12 + -2 + -4x + 2x = 22 Combine like terms: -12 + -2 = -14 -14 + -4x + 2x = 22 Combine like terms: -4x + 2x = -2x -14 + -2x = 22 Solving -14 + -2x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -2x = 22 + 14 Combine like terms: -14 + 14 = 0 0 + -2x = 22 + 14 -2x = 22 + 14 Combine like terms: 22 + 14 = 36 -2x = 36 Divide each side by '-2'. x = -18 Simplifying x = -18
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