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Simplifying 3x + 8 = -4x + 22 Reorder the terms: 8 + 3x = -4x + 22 Reorder the terms: 8 + 3x = 22 + -4x Solving 8 + 3x = 22 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8 + 3x + 4x = 22 + -4x + 4x Combine like terms: 3x + 4x = 7x 8 + 7x = 22 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 7x = 22 + 0 8 + 7x = 22 Add '-8' to each side of the equation. 8 + -8 + 7x = 22 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 22 + -8 7x = 22 + -8 Combine like terms: 22 + -8 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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