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Simplifying 8(x + 3) = 2(x + 33) Reorder the terms: 8(3 + x) = 2(x + 33) (3 * 8 + x * 8) = 2(x + 33) (24 + 8x) = 2(x + 33) Reorder the terms: 24 + 8x = 2(33 + x) 24 + 8x = (33 * 2 + x * 2) 24 + 8x = (66 + 2x) Solving 24 + 8x = 66 + 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 = 66 + 2x + -2x Combine like terms: 8x + -2x = 6x 24 + 6x = 66 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + 6x = 66 + 0 24 + 6x = 66 Add '-24' to each side of the equation. 24 + -24 + 6x = 66 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 66 + -24 6x = 66 + -24 Combine like terms: 66 + -24 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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