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