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Simplifying 6(5 + -3x) = 49x + 42 (5 * 6 + -3x * 6) = 49x + 42 (30 + -18x) = 49x + 42 Reorder the terms: 30 + -18x = 42 + 49x Solving 30 + -18x = 42 + 49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49x' to each side of the equation. 30 + -18x + -49x = 42 + 49x + -49x Combine like terms: -18x + -49x = -67x 30 + -67x = 42 + 49x + -49x Combine like terms: 49x + -49x = 0 30 + -67x = 42 + 0 30 + -67x = 42 Add '-30' to each side of the equation. 30 + -30 + -67x = 42 + -30 Combine like terms: 30 + -30 = 0 0 + -67x = 42 + -30 -67x = 42 + -30 Combine like terms: 42 + -30 = 12 -67x = 12 Divide each side by '-67'. x = -0.1791044776 Simplifying x = -0.1791044776
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