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Simplifying -4(6x + 2) = 6x + 22 Reorder the terms: -4(2 + 6x) = 6x + 22 (2 * -4 + 6x * -4) = 6x + 22 (-8 + -24x) = 6x + 22 Reorder the terms: -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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