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Simplifying 6(x + 4) = 2(x + 30) Reorder the terms: 6(4 + x) = 2(x + 30) (4 * 6 + x * 6) = 2(x + 30) (24 + 6x) = 2(x + 30) Reorder the terms: 24 + 6x = 2(30 + x) 24 + 6x = (30 * 2 + x * 2) 24 + 6x = (60 + 2x) Solving 24 + 6x = 60 + 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 + 6x + -2x = 60 + 2x + -2x Combine like terms: 6x + -2x = 4x 24 + 4x = 60 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + 4x = 60 + 0 24 + 4x = 60 Add '-24' to each side of the equation. 24 + -24 + 4x = 60 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = 60 + -24 4x = 60 + -24 Combine like terms: 60 + -24 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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