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Simplifying 3 + 5(x + -3) = 9 + -6(x + -5) Reorder the terms: 3 + 5(-3 + x) = 9 + -6(x + -5) 3 + (-3 * 5 + x * 5) = 9 + -6(x + -5) 3 + (-15 + 5x) = 9 + -6(x + -5) Combine like terms: 3 + -15 = -12 -12 + 5x = 9 + -6(x + -5) Reorder the terms: -12 + 5x = 9 + -6(-5 + x) -12 + 5x = 9 + (-5 * -6 + x * -6) -12 + 5x = 9 + (30 + -6x) Combine like terms: 9 + 30 = 39 -12 + 5x = 39 + -6x Solving -12 + 5x = 39 + -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. -12 + 5x + 6x = 39 + -6x + 6x Combine like terms: 5x + 6x = 11x -12 + 11x = 39 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 11x = 39 + 0 -12 + 11x = 39 Add '12' to each side of the equation. -12 + 12 + 11x = 39 + 12 Combine like terms: -12 + 12 = 0 0 + 11x = 39 + 12 11x = 39 + 12 Combine like terms: 39 + 12 = 51 11x = 51 Divide each side by '11'. x = 4.636363636 Simplifying x = 4.636363636
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