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Simplifying 5(2x + -5) + -2(x + 3) + -17x = 0 Reorder the terms: 5(-5 + 2x) + -2(x + 3) + -17x = 0 (-5 * 5 + 2x * 5) + -2(x + 3) + -17x = 0 (-25 + 10x) + -2(x + 3) + -17x = 0 Reorder the terms: -25 + 10x + -2(3 + x) + -17x = 0 -25 + 10x + (3 * -2 + x * -2) + -17x = 0 -25 + 10x + (-6 + -2x) + -17x = 0 Reorder the terms: -25 + -6 + 10x + -2x + -17x = 0 Combine like terms: -25 + -6 = -31 -31 + 10x + -2x + -17x = 0 Combine like terms: 10x + -2x = 8x -31 + 8x + -17x = 0 Combine like terms: 8x + -17x = -9x -31 + -9x = 0 Solving -31 + -9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -9x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -9x = 0 + 31 -9x = 0 + 31 Combine like terms: 0 + 31 = 31 -9x = 31 Divide each side by '-9'. x = -3.444444444 Simplifying x = -3.444444444
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