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Simplifying 8(x + 3) = 2(x + 30) Reorder the terms: 8(3 + x) = 2(x + 30) (3 * 8 + x * 8) = 2(x + 30) (24 + 8x) = 2(x + 30) Reorder the terms: 24 + 8x = 2(30 + x) 24 + 8x = (30 * 2 + x * 2) 24 + 8x = (60 + 2x) Solving 24 + 8x = 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 + 8x + -2x = 60 + 2x + -2x Combine like terms: 8x + -2x = 6x 24 + 6x = 60 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + 6x = 60 + 0 24 + 6x = 60 Add '-24' to each side of the equation. 24 + -24 + 6x = 60 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 60 + -24 6x = 60 + -24 Combine like terms: 60 + -24 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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