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Simplifying 2(x + 6) = 36 + -4x Reorder the terms: 2(6 + x) = 36 + -4x (6 * 2 + x * 2) = 36 + -4x (12 + 2x) = 36 + -4x Solving 12 + 2x = 36 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 12 + 2x + 4x = 36 + -4x + 4x Combine like terms: 2x + 4x = 6x 12 + 6x = 36 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 6x = 36 + 0 12 + 6x = 36 Add '-12' to each side of the equation. 12 + -12 + 6x = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 36 + -12 6x = 36 + -12 Combine like terms: 36 + -12 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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