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Simplifying 3(x + 7) + -6x = 3(x + 9) Reorder the terms: 3(7 + x) + -6x = 3(x + 9) (7 * 3 + x * 3) + -6x = 3(x + 9) (21 + 3x) + -6x = 3(x + 9) Combine like terms: 3x + -6x = -3x 21 + -3x = 3(x + 9) Reorder the terms: 21 + -3x = 3(9 + x) 21 + -3x = (9 * 3 + x * 3) 21 + -3x = (27 + 3x) Solving 21 + -3x = 27 + 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. 21 + -3x + -3x = 27 + 3x + -3x Combine like terms: -3x + -3x = -6x 21 + -6x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 21 + -6x = 27 + 0 21 + -6x = 27 Add '-21' to each side of the equation. 21 + -21 + -6x = 27 + -21 Combine like terms: 21 + -21 = 0 0 + -6x = 27 + -21 -6x = 27 + -21 Combine like terms: 27 + -21 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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