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Simplifying 5x + -78 = 48 + 12x Reorder the terms: -78 + 5x = 48 + 12x Solving -78 + 5x = 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 + 5x + -12x = 48 + 12x + -12x Combine like terms: 5x + -12x = -7x -78 + -7x = 48 + 12x + -12x Combine like terms: 12x + -12x = 0 -78 + -7x = 48 + 0 -78 + -7x = 48 Add '78' to each side of the equation. -78 + 78 + -7x = 48 + 78 Combine like terms: -78 + 78 = 0 0 + -7x = 48 + 78 -7x = 48 + 78 Combine like terms: 48 + 78 = 126 -7x = 126 Divide each side by '-7'. x = -18 Simplifying x = -18
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