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Simplifying 17(2 + -3x) + 5(5x + -6) = 4(3 + -8x) + 10 (2 * 17 + -3x * 17) + 5(5x + -6) = 4(3 + -8x) + 10 (34 + -51x) + 5(5x + -6) = 4(3 + -8x) + 10 Reorder the terms: 34 + -51x + 5(-6 + 5x) = 4(3 + -8x) + 10 34 + -51x + (-6 * 5 + 5x * 5) = 4(3 + -8x) + 10 34 + -51x + (-30 + 25x) = 4(3 + -8x) + 10 Reorder the terms: 34 + -30 + -51x + 25x = 4(3 + -8x) + 10 Combine like terms: 34 + -30 = 4 4 + -51x + 25x = 4(3 + -8x) + 10 Combine like terms: -51x + 25x = -26x 4 + -26x = 4(3 + -8x) + 10 4 + -26x = (3 * 4 + -8x * 4) + 10 4 + -26x = (12 + -32x) + 10 Reorder the terms: 4 + -26x = 12 + 10 + -32x Combine like terms: 12 + 10 = 22 4 + -26x = 22 + -32x Solving 4 + -26x = 22 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 4 + -26x + 32x = 22 + -32x + 32x Combine like terms: -26x + 32x = 6x 4 + 6x = 22 + -32x + 32x Combine like terms: -32x + 32x = 0 4 + 6x = 22 + 0 4 + 6x = 22 Add '-4' to each side of the equation. 4 + -4 + 6x = 22 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 22 + -4 6x = 22 + -4 Combine like terms: 22 + -4 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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