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Simplifying 5x + -1 = 12x + -78 Reorder the terms: -1 + 5x = 12x + -78 Reorder the terms: -1 + 5x = -78 + 12x Solving -1 + 5x = -78 + 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. -1 + 5x + -12x = -78 + 12x + -12x Combine like terms: 5x + -12x = -7x -1 + -7x = -78 + 12x + -12x Combine like terms: 12x + -12x = 0 -1 + -7x = -78 + 0 -1 + -7x = -78 Add '1' to each side of the equation. -1 + 1 + -7x = -78 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = -78 + 1 -7x = -78 + 1 Combine like terms: -78 + 1 = -77 -7x = -77 Divide each side by '-7'. x = 11 Simplifying x = 11
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