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Simplifying 15x + 118 = 10x + 78 Reorder the terms: 118 + 15x = 10x + 78 Reorder the terms: 118 + 15x = 78 + 10x Solving 118 + 15x = 78 + 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. 118 + 15x + -10x = 78 + 10x + -10x Combine like terms: 15x + -10x = 5x 118 + 5x = 78 + 10x + -10x Combine like terms: 10x + -10x = 0 118 + 5x = 78 + 0 118 + 5x = 78 Add '-118' to each side of the equation. 118 + -118 + 5x = 78 + -118 Combine like terms: 118 + -118 = 0 0 + 5x = 78 + -118 5x = 78 + -118 Combine like terms: 78 + -118 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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