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Simplifying 3(7x + -6) = 5 + 3x Reorder the terms: 3(-6 + 7x) = 5 + 3x (-6 * 3 + 7x * 3) = 5 + 3x (-18 + 21x) = 5 + 3x Solving -18 + 21x = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -18 + 21x + -3x = 5 + 3x + -3x Combine like terms: 21x + -3x = 18x -18 + 18x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 18x = 5 + 0 -18 + 18x = 5 Add '18' to each side of the equation. -18 + 18 + 18x = 5 + 18 Combine like terms: -18 + 18 = 0 0 + 18x = 5 + 18 18x = 5 + 18 Combine like terms: 5 + 18 = 23 18x = 23 Divide each side by '18'. x = 1.277777778 Simplifying x = 1.277777778
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