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Simplifying 5x + -17 = 4(2x + -5) + -9 Reorder the terms: -17 + 5x = 4(2x + -5) + -9 Reorder the terms: -17 + 5x = 4(-5 + 2x) + -9 -17 + 5x = (-5 * 4 + 2x * 4) + -9 -17 + 5x = (-20 + 8x) + -9 Reorder the terms: -17 + 5x = -20 + -9 + 8x Combine like terms: -20 + -9 = -29 -17 + 5x = -29 + 8x Solving -17 + 5x = -29 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -17 + 5x + -8x = -29 + 8x + -8x Combine like terms: 5x + -8x = -3x -17 + -3x = -29 + 8x + -8x Combine like terms: 8x + -8x = 0 -17 + -3x = -29 + 0 -17 + -3x = -29 Add '17' to each side of the equation. -17 + 17 + -3x = -29 + 17 Combine like terms: -17 + 17 = 0 0 + -3x = -29 + 17 -3x = -29 + 17 Combine like terms: -29 + 17 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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