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Simplifying 6 + 5(x + -9) = 6 + -6(x + -2) Reorder the terms: 6 + 5(-9 + x) = 6 + -6(x + -2) 6 + (-9 * 5 + x * 5) = 6 + -6(x + -2) 6 + (-45 + 5x) = 6 + -6(x + -2) Combine like terms: 6 + -45 = -39 -39 + 5x = 6 + -6(x + -2) Reorder the terms: -39 + 5x = 6 + -6(-2 + x) -39 + 5x = 6 + (-2 * -6 + x * -6) -39 + 5x = 6 + (12 + -6x) Combine like terms: 6 + 12 = 18 -39 + 5x = 18 + -6x Solving -39 + 5x = 18 + -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. -39 + 5x + 6x = 18 + -6x + 6x Combine like terms: 5x + 6x = 11x -39 + 11x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 -39 + 11x = 18 + 0 -39 + 11x = 18 Add '39' to each side of the equation. -39 + 39 + 11x = 18 + 39 Combine like terms: -39 + 39 = 0 0 + 11x = 18 + 39 11x = 18 + 39 Combine like terms: 18 + 39 = 57 11x = 57 Divide each side by '11'. x = 5.181818182 Simplifying x = 5.181818182
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