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Simplifying 3x + -17 = 2(4x + 5) + 3 Reorder the terms: -17 + 3x = 2(4x + 5) + 3 Reorder the terms: -17 + 3x = 2(5 + 4x) + 3 -17 + 3x = (5 * 2 + 4x * 2) + 3 -17 + 3x = (10 + 8x) + 3 Reorder the terms: -17 + 3x = 10 + 3 + 8x Combine like terms: 10 + 3 = 13 -17 + 3x = 13 + 8x Solving -17 + 3x = 13 + 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 + 3x + -8x = 13 + 8x + -8x Combine like terms: 3x + -8x = -5x -17 + -5x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 -17 + -5x = 13 + 0 -17 + -5x = 13 Add '17' to each side of the equation. -17 + 17 + -5x = 13 + 17 Combine like terms: -17 + 17 = 0 0 + -5x = 13 + 17 -5x = 13 + 17 Combine like terms: 13 + 17 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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