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Simplifying 6(x + 5) = 3(2x + 3) * 212 Reorder the terms: 6(5 + x) = 3(2x + 3) * 212 (5 * 6 + x * 6) = 3(2x + 3) * 212 (30 + 6x) = 3(2x + 3) * 212 Reorder the terms: 30 + 6x = 3(3 + 2x) * 212 Reorder the terms for easier multiplication: 30 + 6x = 3 * 212(3 + 2x) Multiply 3 * 212 30 + 6x = 636(3 + 2x) 30 + 6x = (3 * 636 + 2x * 636) 30 + 6x = (1908 + 1272x) Solving 30 + 6x = 1908 + 1272x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1272x' to each side of the equation. 30 + 6x + -1272x = 1908 + 1272x + -1272x Combine like terms: 6x + -1272x = -1266x 30 + -1266x = 1908 + 1272x + -1272x Combine like terms: 1272x + -1272x = 0 30 + -1266x = 1908 + 0 30 + -1266x = 1908 Add '-30' to each side of the equation. 30 + -30 + -1266x = 1908 + -30 Combine like terms: 30 + -30 = 0 0 + -1266x = 1908 + -30 -1266x = 1908 + -30 Combine like terms: 1908 + -30 = 1878 -1266x = 1878 Divide each side by '-1266'. x = -1.483412322 Simplifying x = -1.483412322
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