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Simplifying 3(x + 7) = 9(x + -5) Reorder the terms: 3(7 + x) = 9(x + -5) (7 * 3 + x * 3) = 9(x + -5) (21 + 3x) = 9(x + -5) Reorder the terms: 21 + 3x = 9(-5 + x) 21 + 3x = (-5 * 9 + x * 9) 21 + 3x = (-45 + 9x) Solving 21 + 3x = -45 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 21 + 3x + -9x = -45 + 9x + -9x Combine like terms: 3x + -9x = -6x 21 + -6x = -45 + 9x + -9x Combine like terms: 9x + -9x = 0 21 + -6x = -45 + 0 21 + -6x = -45 Add '-21' to each side of the equation. 21 + -21 + -6x = -45 + -21 Combine like terms: 21 + -21 = 0 0 + -6x = -45 + -21 -6x = -45 + -21 Combine like terms: -45 + -21 = -66 -6x = -66 Divide each side by '-6'. x = 11 Simplifying x = 11
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