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Simplifying 3x + 38 + -5x = 2 + -6x + 4 Reorder the terms: 38 + 3x + -5x = 2 + -6x + 4 Combine like terms: 3x + -5x = -2x 38 + -2x = 2 + -6x + 4 Reorder the terms: 38 + -2x = 2 + 4 + -6x Combine like terms: 2 + 4 = 6 38 + -2x = 6 + -6x Solving 38 + -2x = 6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 38 + -2x + 6x = 6 + -6x + 6x Combine like terms: -2x + 6x = 4x 38 + 4x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 38 + 4x = 6 + 0 38 + 4x = 6 Add '-38' to each side of the equation. 38 + -38 + 4x = 6 + -38 Combine like terms: 38 + -38 = 0 0 + 4x = 6 + -38 4x = 6 + -38 Combine like terms: 6 + -38 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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