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Simplifying -2(x + 2) + -4(x + -3) = 22 Reorder the terms: -2(2 + x) + -4(x + -3) = 22 (2 * -2 + x * -2) + -4(x + -3) = 22 (-4 + -2x) + -4(x + -3) = 22 Reorder the terms: -4 + -2x + -4(-3 + x) = 22 -4 + -2x + (-3 * -4 + x * -4) = 22 -4 + -2x + (12 + -4x) = 22 Reorder the terms: -4 + 12 + -2x + -4x = 22 Combine like terms: -4 + 12 = 8 8 + -2x + -4x = 22 Combine like terms: -2x + -4x = -6x 8 + -6x = 22 Solving 8 + -6x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -6x = 22 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = 22 + -8 -6x = 22 + -8 Combine like terms: 22 + -8 = 14 -6x = 14 Divide each side by '-6'. x = -2.333333333 Simplifying x = -2.333333333
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