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Simplifying -74 + 5x = 24 + 12x Solving -74 + 5x = 24 + 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. -74 + 5x + -12x = 24 + 12x + -12x Combine like terms: 5x + -12x = -7x -74 + -7x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 -74 + -7x = 24 + 0 -74 + -7x = 24 Add '74' to each side of the equation. -74 + 74 + -7x = 24 + 74 Combine like terms: -74 + 74 = 0 0 + -7x = 24 + 74 -7x = 24 + 74 Combine like terms: 24 + 74 = 98 -7x = 98 Divide each side by '-7'. x = -14 Simplifying x = -14
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