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Simplifying 5(8x + -11) + 5 = 9x + 5 Reorder the terms: 5(-11 + 8x) + 5 = 9x + 5 (-11 * 5 + 8x * 5) + 5 = 9x + 5 (-55 + 40x) + 5 = 9x + 5 Reorder the terms: -55 + 5 + 40x = 9x + 5 Combine like terms: -55 + 5 = -50 -50 + 40x = 9x + 5 Reorder the terms: -50 + 40x = 5 + 9x Solving -50 + 40x = 5 + 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 + 40x + -9x = 5 + 9x + -9x Combine like terms: 40x + -9x = 31x -50 + 31x = 5 + 9x + -9x Combine like terms: 9x + -9x = 0 -50 + 31x = 5 + 0 -50 + 31x = 5 Add '50' to each side of the equation. -50 + 50 + 31x = 5 + 50 Combine like terms: -50 + 50 = 0 0 + 31x = 5 + 50 31x = 5 + 50 Combine like terms: 5 + 50 = 55 31x = 55 Divide each side by '31'. x = 1.774193548 Simplifying x = 1.774193548
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