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Simplifying 9(x + -5) = 6(x + 5) Reorder the terms: 9(-5 + x) = 6(x + 5) (-5 * 9 + x * 9) = 6(x + 5) (-45 + 9x) = 6(x + 5) Reorder the terms: -45 + 9x = 6(5 + x) -45 + 9x = (5 * 6 + x * 6) -45 + 9x = (30 + 6x) Solving -45 + 9x = 30 + 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. -45 + 9x + -6x = 30 + 6x + -6x Combine like terms: 9x + -6x = 3x -45 + 3x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 -45 + 3x = 30 + 0 -45 + 3x = 30 Add '45' to each side of the equation. -45 + 45 + 3x = 30 + 45 Combine like terms: -45 + 45 = 0 0 + 3x = 30 + 45 3x = 30 + 45 Combine like terms: 30 + 45 = 75 3x = 75 Divide each side by '3'. x = 25 Simplifying x = 25
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