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Simplifying 6(x + 2) = 2x + 36 Reorder the terms: 6(2 + x) = 2x + 36 (2 * 6 + x * 6) = 2x + 36 (12 + 6x) = 2x + 36 Reorder the terms: 12 + 6x = 36 + 2x Solving 12 + 6x = 36 + 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. 12 + 6x + -2x = 36 + 2x + -2x Combine like terms: 6x + -2x = 4x 12 + 4x = 36 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 4x = 36 + 0 12 + 4x = 36 Add '-12' to each side of the equation. 12 + -12 + 4x = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 36 + -12 4x = 36 + -12 Combine like terms: 36 + -12 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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