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Simplifying 2 + 6(x + -3) = 9 + -5(x + -5) Reorder the terms: 2 + 6(-3 + x) = 9 + -5(x + -5) 2 + (-3 * 6 + x * 6) = 9 + -5(x + -5) 2 + (-18 + 6x) = 9 + -5(x + -5) Combine like terms: 2 + -18 = -16 -16 + 6x = 9 + -5(x + -5) Reorder the terms: -16 + 6x = 9 + -5(-5 + x) -16 + 6x = 9 + (-5 * -5 + x * -5) -16 + 6x = 9 + (25 + -5x) Combine like terms: 9 + 25 = 34 -16 + 6x = 34 + -5x Solving -16 + 6x = 34 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -16 + 6x + 5x = 34 + -5x + 5x Combine like terms: 6x + 5x = 11x -16 + 11x = 34 + -5x + 5x Combine like terms: -5x + 5x = 0 -16 + 11x = 34 + 0 -16 + 11x = 34 Add '16' to each side of the equation. -16 + 16 + 11x = 34 + 16 Combine like terms: -16 + 16 = 0 0 + 11x = 34 + 16 11x = 34 + 16 Combine like terms: 34 + 16 = 50 11x = 50 Divide each side by '11'. x = 4.545454545 Simplifying x = 4.545454545
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