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Simplifying 6(4x + 4) = 2(x + 2) Reorder the terms: 6(4 + 4x) = 2(x + 2) (4 * 6 + 4x * 6) = 2(x + 2) (24 + 24x) = 2(x + 2) Reorder the terms: 24 + 24x = 2(2 + x) 24 + 24x = (2 * 2 + x * 2) 24 + 24x = (4 + 2x) Solving 24 + 24x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 24 + 24x + -2x = 4 + 2x + -2x Combine like terms: 24x + -2x = 22x 24 + 22x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + 22x = 4 + 0 24 + 22x = 4 Add '-24' to each side of the equation. 24 + -24 + 22x = 4 + -24 Combine like terms: 24 + -24 = 0 0 + 22x = 4 + -24 22x = 4 + -24 Combine like terms: 4 + -24 = -20 22x = -20 Divide each side by '22'. x = -0.9090909091 Simplifying x = -0.9090909091
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