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Simplifying 17(3x + -4) = 24x + 218 Reorder the terms: 17(-4 + 3x) = 24x + 218 (-4 * 17 + 3x * 17) = 24x + 218 (-68 + 51x) = 24x + 218 Reorder the terms: -68 + 51x = 218 + 24x Solving -68 + 51x = 218 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -68 + 51x + -24x = 218 + 24x + -24x Combine like terms: 51x + -24x = 27x -68 + 27x = 218 + 24x + -24x Combine like terms: 24x + -24x = 0 -68 + 27x = 218 + 0 -68 + 27x = 218 Add '68' to each side of the equation. -68 + 68 + 27x = 218 + 68 Combine like terms: -68 + 68 = 0 0 + 27x = 218 + 68 27x = 218 + 68 Combine like terms: 218 + 68 = 286 27x = 286 Divide each side by '27'. x = 10.59259259 Simplifying x = 10.59259259
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