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Simplifying 5x + 6(x + -11) = 5(x + -12) Reorder the terms: 5x + 6(-11 + x) = 5(x + -12) 5x + (-11 * 6 + x * 6) = 5(x + -12) 5x + (-66 + 6x) = 5(x + -12) Reorder the terms: -66 + 5x + 6x = 5(x + -12) Combine like terms: 5x + 6x = 11x -66 + 11x = 5(x + -12) Reorder the terms: -66 + 11x = 5(-12 + x) -66 + 11x = (-12 * 5 + x * 5) -66 + 11x = (-60 + 5x) Solving -66 + 11x = -60 + 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. -66 + 11x + -5x = -60 + 5x + -5x Combine like terms: 11x + -5x = 6x -66 + 6x = -60 + 5x + -5x Combine like terms: 5x + -5x = 0 -66 + 6x = -60 + 0 -66 + 6x = -60 Add '66' to each side of the equation. -66 + 66 + 6x = -60 + 66 Combine like terms: -66 + 66 = 0 0 + 6x = -60 + 66 6x = -60 + 66 Combine like terms: -60 + 66 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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