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Simplifying 6(5x + -4) = 17x + 15 Reorder the terms: 6(-4 + 5x) = 17x + 15 (-4 * 6 + 5x * 6) = 17x + 15 (-24 + 30x) = 17x + 15 Reorder the terms: -24 + 30x = 15 + 17x Solving -24 + 30x = 15 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -24 + 30x + -17x = 15 + 17x + -17x Combine like terms: 30x + -17x = 13x -24 + 13x = 15 + 17x + -17x Combine like terms: 17x + -17x = 0 -24 + 13x = 15 + 0 -24 + 13x = 15 Add '24' to each side of the equation. -24 + 24 + 13x = 15 + 24 Combine like terms: -24 + 24 = 0 0 + 13x = 15 + 24 13x = 15 + 24 Combine like terms: 15 + 24 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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