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Simplifying 3x + 1 + 2x + -7 = x + 22 Reorder the terms: 1 + -7 + 3x + 2x = x + 22 Combine like terms: 1 + -7 = -6 -6 + 3x + 2x = x + 22 Combine like terms: 3x + 2x = 5x -6 + 5x = x + 22 Reorder the terms: -6 + 5x = 22 + x Solving -6 + 5x = 22 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 5x + -1x = 22 + x + -1x Combine like terms: 5x + -1x = 4x -6 + 4x = 22 + x + -1x Combine like terms: x + -1x = 0 -6 + 4x = 22 + 0 -6 + 4x = 22 Add '6' to each side of the equation. -6 + 6 + 4x = 22 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 22 + 6 4x = 22 + 6 Combine like terms: 22 + 6 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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