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Simplifying 5(2x + -5) + -3(x + 4) + -17x = 0 Reorder the terms: 5(-5 + 2x) + -3(x + 4) + -17x = 0 (-5 * 5 + 2x * 5) + -3(x + 4) + -17x = 0 (-25 + 10x) + -3(x + 4) + -17x = 0 Reorder the terms: -25 + 10x + -3(4 + x) + -17x = 0 -25 + 10x + (4 * -3 + x * -3) + -17x = 0 -25 + 10x + (-12 + -3x) + -17x = 0 Reorder the terms: -25 + -12 + 10x + -3x + -17x = 0 Combine like terms: -25 + -12 = -37 -37 + 10x + -3x + -17x = 0 Combine like terms: 10x + -3x = 7x -37 + 7x + -17x = 0 Combine like terms: 7x + -17x = -10x -37 + -10x = 0 Solving -37 + -10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + -10x = 0 + 37 Combine like terms: -37 + 37 = 0 0 + -10x = 0 + 37 -10x = 0 + 37 Combine like terms: 0 + 37 = 37 -10x = 37 Divide each side by '-10'. x = -3.7 Simplifying x = -3.7
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