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Simplifying 2(4 + -1x) = 4x + -22 (4 * 2 + -1x * 2) = 4x + -22 (8 + -2x) = 4x + -22 Reorder the terms: 8 + -2x = -22 + 4x Solving 8 + -2x = -22 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + -2x + -4x = -22 + 4x + -4x Combine like terms: -2x + -4x = -6x 8 + -6x = -22 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -6x = -22 + 0 8 + -6x = -22 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 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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