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Simplifying 4(x + 6) = 22x Reorder the terms: 4(6 + x) = 22x (6 * 4 + x * 4) = 22x (24 + 4x) = 22x Solving 24 + 4x = 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 24 + 4x + -22x = 22x + -22x Combine like terms: 4x + -22x = -18x 24 + -18x = 22x + -22x Combine like terms: 22x + -22x = 0 24 + -18x = 0 Add '-24' to each side of the equation. 24 + -24 + -18x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -18x = 0 + -24 -18x = 0 + -24 Combine like terms: 0 + -24 = -24 -18x = -24 Divide each side by '-18'. x = 1.333333333 Simplifying x = 1.333333333
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