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Simplifying 6 + 6(x + -3) = 11 + -5(x + -5) Reorder the terms: 6 + 6(-3 + x) = 11 + -5(x + -5) 6 + (-3 * 6 + x * 6) = 11 + -5(x + -5) 6 + (-18 + 6x) = 11 + -5(x + -5) Combine like terms: 6 + -18 = -12 -12 + 6x = 11 + -5(x + -5) Reorder the terms: -12 + 6x = 11 + -5(-5 + x) -12 + 6x = 11 + (-5 * -5 + x * -5) -12 + 6x = 11 + (25 + -5x) Combine like terms: 11 + 25 = 36 -12 + 6x = 36 + -5x Solving -12 + 6x = 36 + -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. -12 + 6x + 5x = 36 + -5x + 5x Combine like terms: 6x + 5x = 11x -12 + 11x = 36 + -5x + 5x Combine like terms: -5x + 5x = 0 -12 + 11x = 36 + 0 -12 + 11x = 36 Add '12' to each side of the equation. -12 + 12 + 11x = 36 + 12 Combine like terms: -12 + 12 = 0 0 + 11x = 36 + 12 11x = 36 + 12 Combine like terms: 36 + 12 = 48 11x = 48 Divide each side by '11'. x = 4.363636364 Simplifying x = 4.363636364
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