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Simplifying 5(2x + -5) + -3(x + 1) + -17x = 0 Reorder the terms: 5(-5 + 2x) + -3(x + 1) + -17x = 0 (-5 * 5 + 2x * 5) + -3(x + 1) + -17x = 0 (-25 + 10x) + -3(x + 1) + -17x = 0 Reorder the terms: -25 + 10x + -3(1 + x) + -17x = 0 -25 + 10x + (1 * -3 + x * -3) + -17x = 0 -25 + 10x + (-3 + -3x) + -17x = 0 Reorder the terms: -25 + -3 + 10x + -3x + -17x = 0 Combine like terms: -25 + -3 = -28 -28 + 10x + -3x + -17x = 0 Combine like terms: 10x + -3x = 7x -28 + 7x + -17x = 0 Combine like terms: 7x + -17x = -10x -28 + -10x = 0 Solving -28 + -10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -10x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -10x = 0 + 28 -10x = 0 + 28 Combine like terms: 0 + 28 = 28 -10x = 28 Divide each side by '-10'. x = -2.8 Simplifying x = -2.8
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