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Simplifying 3x + -4(5x + -6) = 17 + -8x Reorder the terms: 3x + -4(-6 + 5x) = 17 + -8x 3x + (-6 * -4 + 5x * -4) = 17 + -8x 3x + (24 + -20x) = 17 + -8x Reorder the terms: 24 + 3x + -20x = 17 + -8x Combine like terms: 3x + -20x = -17x 24 + -17x = 17 + -8x Solving 24 + -17x = 17 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 24 + -17x + 8x = 17 + -8x + 8x Combine like terms: -17x + 8x = -9x 24 + -9x = 17 + -8x + 8x Combine like terms: -8x + 8x = 0 24 + -9x = 17 + 0 24 + -9x = 17 Add '-24' to each side of the equation. 24 + -24 + -9x = 17 + -24 Combine like terms: 24 + -24 = 0 0 + -9x = 17 + -24 -9x = 17 + -24 Combine like terms: 17 + -24 = -7 -9x = -7 Divide each side by '-9'. x = 0.7777777778 Simplifying x = 0.7777777778
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