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Simplifying 17x + -5(2x + -9) = (-6 + 10) + 4 Reorder the terms: 17x + -5(-9 + 2x) = (-6 + 10) + 4 17x + (-9 * -5 + 2x * -5) = (-6 + 10) + 4 17x + (45 + -10x) = (-6 + 10) + 4 Reorder the terms: 45 + 17x + -10x = (-6 + 10) + 4 Combine like terms: 17x + -10x = 7x 45 + 7x = (-6 + 10) + 4 Combine like terms: -6 + 10 = 4 45 + 7x = (4) + 4 45 + 7x = 4 + 4 Combine like terms: 4 + 4 = 8 45 + 7x = 8 Solving 45 + 7x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 7x = 8 + -45 Combine like terms: 45 + -45 = 0 0 + 7x = 8 + -45 7x = 8 + -45 Combine like terms: 8 + -45 = -37 7x = -37 Divide each side by '7'. x = -5.285714286 Simplifying x = -5.285714286
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