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Simplifying 4(-6x + 2) = -22 + 6x Reorder the terms: 4(2 + -6x) = -22 + 6x (2 * 4 + -6x * 4) = -22 + 6x (8 + -24x) = -22 + 6x Solving 8 + -24x = -22 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + -24x + -6x = -22 + 6x + -6x Combine like terms: -24x + -6x = -30x 8 + -30x = -22 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -30x = -22 + 0 8 + -30x = -22 Add '-8' to each side of the equation. 8 + -8 + -30x = -22 + -8 Combine like terms: 8 + -8 = 0 0 + -30x = -22 + -8 -30x = -22 + -8 Combine like terms: -22 + -8 = -30 -30x = -30 Divide each side by '-30'. x = 1 Simplifying x = 1
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