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Simplifying 4(5 + x) = 3(3x + -1) + -17 (5 * 4 + x * 4) = 3(3x + -1) + -17 (20 + 4x) = 3(3x + -1) + -17 Reorder the terms: 20 + 4x = 3(-1 + 3x) + -17 20 + 4x = (-1 * 3 + 3x * 3) + -17 20 + 4x = (-3 + 9x) + -17 Reorder the terms: 20 + 4x = -3 + -17 + 9x Combine like terms: -3 + -17 = -20 20 + 4x = -20 + 9x Solving 20 + 4x = -20 + 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. 20 + 4x + -9x = -20 + 9x + -9x Combine like terms: 4x + -9x = -5x 20 + -5x = -20 + 9x + -9x Combine like terms: 9x + -9x = 0 20 + -5x = -20 + 0 20 + -5x = -20 Add '-20' to each side of the equation. 20 + -20 + -5x = -20 + -20 Combine like terms: 20 + -20 = 0 0 + -5x = -20 + -20 -5x = -20 + -20 Combine like terms: -20 + -20 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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