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Simplifying 3x + -4(2x + 5) = 17x Reorder the terms: 3x + -4(5 + 2x) = 17x 3x + (5 * -4 + 2x * -4) = 17x 3x + (-20 + -8x) = 17x Reorder the terms: -20 + 3x + -8x = 17x Combine like terms: 3x + -8x = -5x -20 + -5x = 17x Solving -20 + -5x = 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. -20 + -5x + -17x = 17x + -17x Combine like terms: -5x + -17x = -22x -20 + -22x = 17x + -17x Combine like terms: 17x + -17x = 0 -20 + -22x = 0 Add '20' to each side of the equation. -20 + 20 + -22x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -22x = 0 + 20 -22x = 0 + 20 Combine like terms: 0 + 20 = 20 -22x = 20 Divide each side by '-22'. x = -0.9090909091 Simplifying x = -0.9090909091
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