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Simplifying 6(3x + -7) = 21x Reorder the terms: 6(-7 + 3x) = 21x (-7 * 6 + 3x * 6) = 21x (-42 + 18x) = 21x Solving -42 + 18x = 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -42 + 18x + -21x = 21x + -21x Combine like terms: 18x + -21x = -3x -42 + -3x = 21x + -21x Combine like terms: 21x + -21x = 0 -42 + -3x = 0 Add '42' to each side of the equation. -42 + 42 + -3x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -3x = 0 + 42 -3x = 0 + 42 Combine like terms: 0 + 42 = 42 -3x = 42 Divide each side by '-3'. x = -14 Simplifying x = -14
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