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Simplifying 6(x + 4) = 4x + 22 Reorder the terms: 6(4 + x) = 4x + 22 (4 * 6 + x * 6) = 4x + 22 (24 + 6x) = 4x + 22 Reorder the terms: 24 + 6x = 22 + 4x Solving 24 + 6x = 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. 24 + 6x + -4x = 22 + 4x + -4x Combine like terms: 6x + -4x = 2x 24 + 2x = 22 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + 2x = 22 + 0 24 + 2x = 22 Add '-24' to each side of the equation. 24 + -24 + 2x = 22 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 22 + -24 2x = 22 + -24 Combine like terms: 22 + -24 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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