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Simplifying 4(4x + -14) + x = 5x + -20 Reorder the terms: 4(-14 + 4x) + x = 5x + -20 (-14 * 4 + 4x * 4) + x = 5x + -20 (-56 + 16x) + x = 5x + -20 Combine like terms: 16x + x = 17x -56 + 17x = 5x + -20 Reorder the terms: -56 + 17x = -20 + 5x Solving -56 + 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. -56 + 17x + -5x = -20 + 5x + -5x Combine like terms: 17x + -5x = 12x -56 + 12x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 -56 + 12x = -20 + 0 -56 + 12x = -20 Add '56' to each side of the equation. -56 + 56 + 12x = -20 + 56 Combine like terms: -56 + 56 = 0 0 + 12x = -20 + 56 12x = -20 + 56 Combine like terms: -20 + 56 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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