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Simplifying 3x + -8 + 5x + -22 = 4x + 38 Reorder the terms: -8 + -22 + 3x + 5x = 4x + 38 Combine like terms: -8 + -22 = -30 -30 + 3x + 5x = 4x + 38 Combine like terms: 3x + 5x = 8x -30 + 8x = 4x + 38 Reorder the terms: -30 + 8x = 38 + 4x Solving -30 + 8x = 38 + 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. -30 + 8x + -4x = 38 + 4x + -4x Combine like terms: 8x + -4x = 4x -30 + 4x = 38 + 4x + -4x Combine like terms: 4x + -4x = 0 -30 + 4x = 38 + 0 -30 + 4x = 38 Add '30' to each side of the equation. -30 + 30 + 4x = 38 + 30 Combine like terms: -30 + 30 = 0 0 + 4x = 38 + 30 4x = 38 + 30 Combine like terms: 38 + 30 = 68 4x = 68 Divide each side by '4'. x = 17 Simplifying x = 17
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