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Simplifying 11(6x + -5) + 5 = 9x + -10 Reorder the terms: 11(-5 + 6x) + 5 = 9x + -10 (-5 * 11 + 6x * 11) + 5 = 9x + -10 (-55 + 66x) + 5 = 9x + -10 Reorder the terms: -55 + 5 + 66x = 9x + -10 Combine like terms: -55 + 5 = -50 -50 + 66x = 9x + -10 Reorder the terms: -50 + 66x = -10 + 9x Solving -50 + 66x = -10 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -50 + 66x + -9x = -10 + 9x + -9x Combine like terms: 66x + -9x = 57x -50 + 57x = -10 + 9x + -9x Combine like terms: 9x + -9x = 0 -50 + 57x = -10 + 0 -50 + 57x = -10 Add '50' to each side of the equation. -50 + 50 + 57x = -10 + 50 Combine like terms: -50 + 50 = 0 0 + 57x = -10 + 50 57x = -10 + 50 Combine like terms: -10 + 50 = 40 57x = 40 Divide each side by '57'. x = 0.701754386 Simplifying x = 0.701754386
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