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Simplifying 5x + 23 = 6x + 4x + -17 Reorder the terms: 23 + 5x = 6x + 4x + -17 Reorder the terms: 23 + 5x = -17 + 6x + 4x Combine like terms: 6x + 4x = 10x 23 + 5x = -17 + 10x Solving 23 + 5x = -17 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 23 + 5x + -10x = -17 + 10x + -10x Combine like terms: 5x + -10x = -5x 23 + -5x = -17 + 10x + -10x Combine like terms: 10x + -10x = 0 23 + -5x = -17 + 0 23 + -5x = -17 Add '-23' to each side of the equation. 23 + -23 + -5x = -17 + -23 Combine like terms: 23 + -23 = 0 0 + -5x = -17 + -23 -5x = -17 + -23 Combine like terms: -17 + -23 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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