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