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Simplifying 6[2x + 9] = 2[x + 77] Reorder the terms: 6[9 + 2x] = 2[x + 77] [9 * 6 + 2x * 6] = 2[x + 77] [54 + 12x] = 2[x + 77] Reorder the terms: 54 + 12x = 2[77 + x] 54 + 12x = [77 * 2 + x * 2] 54 + 12x = [154 + 2x] Solving 54 + 12x = 154 + 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. 54 + 12x + -2x = 154 + 2x + -2x Combine like terms: 12x + -2x = 10x 54 + 10x = 154 + 2x + -2x Combine like terms: 2x + -2x = 0 54 + 10x = 154 + 0 54 + 10x = 154 Add '-54' to each side of the equation. 54 + -54 + 10x = 154 + -54 Combine like terms: 54 + -54 = 0 0 + 10x = 154 + -54 10x = 154 + -54 Combine like terms: 154 + -54 = 100 10x = 100 Divide each side by '10'. x = 10 Simplifying x = 10
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