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Simplifying 3x + -16 + 2x + 6 = 4x + 22 Reorder the terms: -16 + 6 + 3x + 2x = 4x + 22 Combine like terms: -16 + 6 = -10 -10 + 3x + 2x = 4x + 22 Combine like terms: 3x + 2x = 5x -10 + 5x = 4x + 22 Reorder the terms: -10 + 5x = 22 + 4x Solving -10 + 5x = 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. -10 + 5x + -4x = 22 + 4x + -4x Combine like terms: 5x + -4x = 1x -10 + 1x = 22 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 1x = 22 + 0 -10 + 1x = 22 Add '10' to each side of the equation. -10 + 10 + 1x = 22 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 22 + 10 1x = 22 + 10 Combine like terms: 22 + 10 = 32 1x = 32 Divide each side by '1'. x = 32 Simplifying x = 32
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