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Simplifying 7(x + 3) = 7 + 6x Reorder the terms: 7(3 + x) = 7 + 6x (3 * 7 + x * 7) = 7 + 6x (21 + 7x) = 7 + 6x Solving 21 + 7x = 7 + 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 = 7 + 6x + -6x Combine like terms: 7x + -6x = 1x 21 + 1x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + 1x = 7 + 0 21 + 1x = 7 Add '-21' to each side of the equation. 21 + -21 + 1x = 7 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = 7 + -21 1x = 7 + -21 Combine like terms: 7 + -21 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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