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Simplifying 27(x + 26) = 15(2x) Reorder the terms: 27(26 + x) = 15(2x) (26 * 27 + x * 27) = 15(2x) (702 + 27x) = 15(2x) Remove parenthesis around (2x) 702 + 27x = 15 * 2x Multiply 15 * 2 702 + 27x = 30x Solving 702 + 27x = 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 702 + 27x + -30x = 30x + -30x Combine like terms: 27x + -30x = -3x 702 + -3x = 30x + -30x Combine like terms: 30x + -30x = 0 702 + -3x = 0 Add '-702' to each side of the equation. 702 + -702 + -3x = 0 + -702 Combine like terms: 702 + -702 = 0 0 + -3x = 0 + -702 -3x = 0 + -702 Combine like terms: 0 + -702 = -702 -3x = -702 Divide each side by '-3'. x = 234 Simplifying x = 234
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