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Simplifying 30x + -78 = 12x + 48 Reorder the terms: -78 + 30x = 12x + 48 Reorder the terms: -78 + 30x = 48 + 12x Solving -78 + 30x = 48 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -78 + 30x + -12x = 48 + 12x + -12x Combine like terms: 30x + -12x = 18x -78 + 18x = 48 + 12x + -12x Combine like terms: 12x + -12x = 0 -78 + 18x = 48 + 0 -78 + 18x = 48 Add '78' to each side of the equation. -78 + 78 + 18x = 48 + 78 Combine like terms: -78 + 78 = 0 0 + 18x = 48 + 78 18x = 48 + 78 Combine like terms: 48 + 78 = 126 18x = 126 Divide each side by '18'. x = 7 Simplifying x = 7
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