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Simplifying 6(x + 6) = 2(x + 36) Reorder the terms: 6(6 + x) = 2(x + 36) (6 * 6 + x * 6) = 2(x + 36) (36 + 6x) = 2(x + 36) Reorder the terms: 36 + 6x = 2(36 + x) 36 + 6x = (36 * 2 + x * 2) 36 + 6x = (72 + 2x) Solving 36 + 6x = 72 + 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. 36 + 6x + -2x = 72 + 2x + -2x Combine like terms: 6x + -2x = 4x 36 + 4x = 72 + 2x + -2x Combine like terms: 2x + -2x = 0 36 + 4x = 72 + 0 36 + 4x = 72 Add '-36' to each side of the equation. 36 + -36 + 4x = 72 + -36 Combine like terms: 36 + -36 = 0 0 + 4x = 72 + -36 4x = 72 + -36 Combine like terms: 72 + -36 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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