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Simplifying 4x + 17 = 10x + -79 Reorder the terms: 17 + 4x = 10x + -79 Reorder the terms: 17 + 4x = -79 + 10x Solving 17 + 4x = -79 + 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. 17 + 4x + -10x = -79 + 10x + -10x Combine like terms: 4x + -10x = -6x 17 + -6x = -79 + 10x + -10x Combine like terms: 10x + -10x = 0 17 + -6x = -79 + 0 17 + -6x = -79 Add '-17' to each side of the equation. 17 + -17 + -6x = -79 + -17 Combine like terms: 17 + -17 = 0 0 + -6x = -79 + -17 -6x = -79 + -17 Combine like terms: -79 + -17 = -96 -6x = -96 Divide each side by '-6'. x = 16 Simplifying x = 16
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