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Simplifying 6x + -1(2 + -9x) = 11(x + 9) + -5 6x + (2 * -1 + -9x * -1) = 11(x + 9) + -5 6x + (-2 + 9x) = 11(x + 9) + -5 Reorder the terms: -2 + 6x + 9x = 11(x + 9) + -5 Combine like terms: 6x + 9x = 15x -2 + 15x = 11(x + 9) + -5 Reorder the terms: -2 + 15x = 11(9 + x) + -5 -2 + 15x = (9 * 11 + x * 11) + -5 -2 + 15x = (99 + 11x) + -5 Reorder the terms: -2 + 15x = 99 + -5 + 11x Combine like terms: 99 + -5 = 94 -2 + 15x = 94 + 11x Solving -2 + 15x = 94 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -2 + 15x + -11x = 94 + 11x + -11x Combine like terms: 15x + -11x = 4x -2 + 4x = 94 + 11x + -11x Combine like terms: 11x + -11x = 0 -2 + 4x = 94 + 0 -2 + 4x = 94 Add '2' to each side of the equation. -2 + 2 + 4x = 94 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 94 + 2 4x = 94 + 2 Combine like terms: 94 + 2 = 96 4x = 96 Divide each side by '4'. x = 24 Simplifying x = 24
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