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Simplifying 3x + -6 + -1 = 2 + -5x + 30 Reorder the terms: -6 + -1 + 3x = 2 + -5x + 30 Combine like terms: -6 + -1 = -7 -7 + 3x = 2 + -5x + 30 Reorder the terms: -7 + 3x = 2 + 30 + -5x Combine like terms: 2 + 30 = 32 -7 + 3x = 32 + -5x Solving -7 + 3x = 32 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -7 + 3x + 5x = 32 + -5x + 5x Combine like terms: 3x + 5x = 8x -7 + 8x = 32 + -5x + 5x Combine like terms: -5x + 5x = 0 -7 + 8x = 32 + 0 -7 + 8x = 32 Add '7' to each side of the equation. -7 + 7 + 8x = 32 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 32 + 7 8x = 32 + 7 Combine like terms: 32 + 7 = 39 8x = 39 Divide each side by '8'. x = 4.875 Simplifying x = 4.875
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