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Simplifying 3x + 38 = 8x + -2 Reorder the terms: 38 + 3x = 8x + -2 Reorder the terms: 38 + 3x = -2 + 8x Solving 38 + 3x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 38 + 3x + -8x = -2 + 8x + -8x Combine like terms: 3x + -8x = -5x 38 + -5x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 38 + -5x = -2 + 0 38 + -5x = -2 Add '-38' to each side of the equation. 38 + -38 + -5x = -2 + -38 Combine like terms: 38 + -38 = 0 0 + -5x = -2 + -38 -5x = -2 + -38 Combine like terms: -2 + -38 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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