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Simplifying 3(x + 7) = 6(-3 + 7x) Reorder the terms: 3(7 + x) = 6(-3 + 7x) (7 * 3 + x * 3) = 6(-3 + 7x) (21 + 3x) = 6(-3 + 7x) 21 + 3x = (-3 * 6 + 7x * 6) 21 + 3x = (-18 + 42x) Solving 21 + 3x = -18 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 21 + 3x + -42x = -18 + 42x + -42x Combine like terms: 3x + -42x = -39x 21 + -39x = -18 + 42x + -42x Combine like terms: 42x + -42x = 0 21 + -39x = -18 + 0 21 + -39x = -18 Add '-21' to each side of the equation. 21 + -21 + -39x = -18 + -21 Combine like terms: 21 + -21 = 0 0 + -39x = -18 + -21 -39x = -18 + -21 Combine like terms: -18 + -21 = -39 -39x = -39 Divide each side by '-39'. x = 1 Simplifying x = 1
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