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Simplifying 10x + -78 = 30 + x Reorder the terms: -78 + 10x = 30 + x Solving -78 + 10x = 30 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -78 + 10x + -1x = 30 + x + -1x Combine like terms: 10x + -1x = 9x -78 + 9x = 30 + x + -1x Combine like terms: x + -1x = 0 -78 + 9x = 30 + 0 -78 + 9x = 30 Add '78' to each side of the equation. -78 + 78 + 9x = 30 + 78 Combine like terms: -78 + 78 = 0 0 + 9x = 30 + 78 9x = 30 + 78 Combine like terms: 30 + 78 = 108 9x = 108 Divide each side by '9'. x = 12 Simplifying x = 12
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