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Simplifying 5x + 78 = 10x + -12 Reorder the terms: 78 + 5x = 10x + -12 Reorder the terms: 78 + 5x = -12 + 10x Solving 78 + 5x = -12 + 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. 78 + 5x + -10x = -12 + 10x + -10x Combine like terms: 5x + -10x = -5x 78 + -5x = -12 + 10x + -10x Combine like terms: 10x + -10x = 0 78 + -5x = -12 + 0 78 + -5x = -12 Add '-78' to each side of the equation. 78 + -78 + -5x = -12 + -78 Combine like terms: 78 + -78 = 0 0 + -5x = -12 + -78 -5x = -12 + -78 Combine like terms: -12 + -78 = -90 -5x = -90 Divide each side by '-5'. x = 18 Simplifying x = 18
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