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Simplifying -3 + 4(2x + -7 + 3x) + -5 = 17x + -4(2x + -9) Reorder the terms: -3 + 4(-7 + 2x + 3x) + -5 = 17x + -4(2x + -9) Combine like terms: 2x + 3x = 5x -3 + 4(-7 + 5x) + -5 = 17x + -4(2x + -9) -3 + (-7 * 4 + 5x * 4) + -5 = 17x + -4(2x + -9) -3 + (-28 + 20x) + -5 = 17x + -4(2x + -9) Reorder the terms: -3 + -28 + -5 + 20x = 17x + -4(2x + -9) Combine like terms: -3 + -28 = -31 -31 + -5 + 20x = 17x + -4(2x + -9) Combine like terms: -31 + -5 = -36 -36 + 20x = 17x + -4(2x + -9) Reorder the terms: -36 + 20x = 17x + -4(-9 + 2x) -36 + 20x = 17x + (-9 * -4 + 2x * -4) -36 + 20x = 17x + (36 + -8x) Reorder the terms: -36 + 20x = 36 + 17x + -8x Combine like terms: 17x + -8x = 9x -36 + 20x = 36 + 9x Solving -36 + 20x = 36 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -36 + 20x + -9x = 36 + 9x + -9x Combine like terms: 20x + -9x = 11x -36 + 11x = 36 + 9x + -9x Combine like terms: 9x + -9x = 0 -36 + 11x = 36 + 0 -36 + 11x = 36 Add '36' to each side of the equation. -36 + 36 + 11x = 36 + 36 Combine like terms: -36 + 36 = 0 0 + 11x = 36 + 36 11x = 36 + 36 Combine like terms: 36 + 36 = 72 11x = 72 Divide each side by '11'. x = 6.545454545 Simplifying x = 6.545454545
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