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Simplifying 6(x + -11) = 5(x + 11) Reorder the terms: 6(-11 + x) = 5(x + 11) (-11 * 6 + x * 6) = 5(x + 11) (-66 + 6x) = 5(x + 11) Reorder the terms: -66 + 6x = 5(11 + x) -66 + 6x = (11 * 5 + x * 5) -66 + 6x = (55 + 5x) Solving -66 + 6x = 55 + 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 + 6x + -5x = 55 + 5x + -5x Combine like terms: 6x + -5x = 1x -66 + 1x = 55 + 5x + -5x Combine like terms: 5x + -5x = 0 -66 + 1x = 55 + 0 -66 + 1x = 55 Add '66' to each side of the equation. -66 + 66 + 1x = 55 + 66 Combine like terms: -66 + 66 = 0 0 + 1x = 55 + 66 1x = 55 + 66 Combine like terms: 55 + 66 = 121 1x = 121 Divide each side by '1'. x = 121 Simplifying x = 121
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