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Simplifying 3(x + 2) = 9(x + -5) Reorder the terms: 3(2 + x) = 9(x + -5) (2 * 3 + x * 3) = 9(x + -5) (6 + 3x) = 9(x + -5) Reorder the terms: 6 + 3x = 9(-5 + x) 6 + 3x = (-5 * 9 + x * 9) 6 + 3x = (-45 + 9x) Solving 6 + 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. 6 + 3x + -9x = -45 + 9x + -9x Combine like terms: 3x + -9x = -6x 6 + -6x = -45 + 9x + -9x Combine like terms: 9x + -9x = 0 6 + -6x = -45 + 0 6 + -6x = -45 Add '-6' to each side of the equation. 6 + -6 + -6x = -45 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = -45 + -6 -6x = -45 + -6 Combine like terms: -45 + -6 = -51 -6x = -51 Divide each side by '-6'. x = 8.5 Simplifying x = 8.5
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