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Simplifying 4(4x + -17) + x = 5x + -20 Reorder the terms: 4(-17 + 4x) + x = 5x + -20 (-17 * 4 + 4x * 4) + x = 5x + -20 (-68 + 16x) + x = 5x + -20 Combine like terms: 16x + x = 17x -68 + 17x = 5x + -20 Reorder the terms: -68 + 17x = -20 + 5x Solving -68 + 17x = -20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -68 + 17x + -5x = -20 + 5x + -5x Combine like terms: 17x + -5x = 12x -68 + 12x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 -68 + 12x = -20 + 0 -68 + 12x = -20 Add '68' to each side of the equation. -68 + 68 + 12x = -20 + 68 Combine like terms: -68 + 68 = 0 0 + 12x = -20 + 68 12x = -20 + 68 Combine like terms: -20 + 68 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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