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Simplifying 2(6x + 6x + 36) = (x)(6)(6) Reorder the terms: 2(36 + 6x + 6x) = (x)(6)(6) Combine like terms: 6x + 6x = 12x 2(36 + 12x) = (x)(6)(6) (36 * 2 + 12x * 2) = (x)(6)(6) (72 + 24x) = (x)(6)(6) Reorder the terms for easier multiplication: 72 + 24x = 6 * 6x Multiply 6 * 6 72 + 24x = 36x Solving 72 + 24x = 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 72 + 24x + -36x = 36x + -36x Combine like terms: 24x + -36x = -12x 72 + -12x = 36x + -36x Combine like terms: 36x + -36x = 0 72 + -12x = 0 Add '-72' to each side of the equation. 72 + -72 + -12x = 0 + -72 Combine like terms: 72 + -72 = 0 0 + -12x = 0 + -72 -12x = 0 + -72 Combine like terms: 0 + -72 = -72 -12x = -72 Divide each side by '-12'. x = 6 Simplifying x = 6
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