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Simplifying -3(4x + 8) + -5x = 7(2x + 5) + -11 Reorder the terms: -3(8 + 4x) + -5x = 7(2x + 5) + -11 (8 * -3 + 4x * -3) + -5x = 7(2x + 5) + -11 (-24 + -12x) + -5x = 7(2x + 5) + -11 Combine like terms: -12x + -5x = -17x -24 + -17x = 7(2x + 5) + -11 Reorder the terms: -24 + -17x = 7(5 + 2x) + -11 -24 + -17x = (5 * 7 + 2x * 7) + -11 -24 + -17x = (35 + 14x) + -11 Reorder the terms: -24 + -17x = 35 + -11 + 14x Combine like terms: 35 + -11 = 24 -24 + -17x = 24 + 14x Solving -24 + -17x = 24 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -24 + -17x + -14x = 24 + 14x + -14x Combine like terms: -17x + -14x = -31x -24 + -31x = 24 + 14x + -14x Combine like terms: 14x + -14x = 0 -24 + -31x = 24 + 0 -24 + -31x = 24 Add '24' to each side of the equation. -24 + 24 + -31x = 24 + 24 Combine like terms: -24 + 24 = 0 0 + -31x = 24 + 24 -31x = 24 + 24 Combine like terms: 24 + 24 = 48 -31x = 48 Divide each side by '-31'. x = -1.548387097 Simplifying x = -1.548387097
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