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Simplifying 6(3 + -4x) + 17 = 8x + -3(2 + -3x) (3 * 6 + -4x * 6) + 17 = 8x + -3(2 + -3x) (18 + -24x) + 17 = 8x + -3(2 + -3x) Reorder the terms: 18 + 17 + -24x = 8x + -3(2 + -3x) Combine like terms: 18 + 17 = 35 35 + -24x = 8x + -3(2 + -3x) 35 + -24x = 8x + (2 * -3 + -3x * -3) 35 + -24x = 8x + (-6 + 9x) Reorder the terms: 35 + -24x = -6 + 8x + 9x Combine like terms: 8x + 9x = 17x 35 + -24x = -6 + 17x Solving 35 + -24x = -6 + 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. 35 + -24x + -17x = -6 + 17x + -17x Combine like terms: -24x + -17x = -41x 35 + -41x = -6 + 17x + -17x Combine like terms: 17x + -17x = 0 35 + -41x = -6 + 0 35 + -41x = -6 Add '-35' to each side of the equation. 35 + -35 + -41x = -6 + -35 Combine like terms: 35 + -35 = 0 0 + -41x = -6 + -35 -41x = -6 + -35 Combine like terms: -6 + -35 = -41 -41x = -41 Divide each side by '-41'. x = 1 Simplifying x = 1
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