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Simplifying 4x + 22 = 7x + -74 Reorder the terms: 22 + 4x = 7x + -74 Reorder the terms: 22 + 4x = -74 + 7x Solving 22 + 4x = -74 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 22 + 4x + -7x = -74 + 7x + -7x Combine like terms: 4x + -7x = -3x 22 + -3x = -74 + 7x + -7x Combine like terms: 7x + -7x = 0 22 + -3x = -74 + 0 22 + -3x = -74 Add '-22' to each side of the equation. 22 + -22 + -3x = -74 + -22 Combine like terms: 22 + -22 = 0 0 + -3x = -74 + -22 -3x = -74 + -22 Combine like terms: -74 + -22 = -96 -3x = -96 Divide each side by '-3'. x = 32 Simplifying x = 32
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