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Simplifying 4x + 20 = 5x + -17 Reorder the terms: 20 + 4x = 5x + -17 Reorder the terms: 20 + 4x = -17 + 5x Solving 20 + 4x = -17 + 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. 20 + 4x + -5x = -17 + 5x + -5x Combine like terms: 4x + -5x = -1x 20 + -1x = -17 + 5x + -5x Combine like terms: 5x + -5x = 0 20 + -1x = -17 + 0 20 + -1x = -17 Add '-20' to each side of the equation. 20 + -20 + -1x = -17 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = -17 + -20 -1x = -17 + -20 Combine like terms: -17 + -20 = -37 -1x = -37 Divide each side by '-1'. x = 37 Simplifying x = 37
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