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Simplifying 7(3 + -7x) = 6(3x + 12) (3 * 7 + -7x * 7) = 6(3x + 12) (21 + -49x) = 6(3x + 12) Reorder the terms: 21 + -49x = 6(12 + 3x) 21 + -49x = (12 * 6 + 3x * 6) 21 + -49x = (72 + 18x) Solving 21 + -49x = 72 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 21 + -49x + -18x = 72 + 18x + -18x Combine like terms: -49x + -18x = -67x 21 + -67x = 72 + 18x + -18x Combine like terms: 18x + -18x = 0 21 + -67x = 72 + 0 21 + -67x = 72 Add '-21' to each side of the equation. 21 + -21 + -67x = 72 + -21 Combine like terms: 21 + -21 = 0 0 + -67x = 72 + -21 -67x = 72 + -21 Combine like terms: 72 + -21 = 51 -67x = 51 Divide each side by '-67'. x = -0.7611940299 Simplifying x = -0.7611940299
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