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Simplifying 3x + -106 = 46 + -5x Reorder the terms: -106 + 3x = 46 + -5x Solving -106 + 3x = 46 + -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. -106 + 3x + 5x = 46 + -5x + 5x Combine like terms: 3x + 5x = 8x -106 + 8x = 46 + -5x + 5x Combine like terms: -5x + 5x = 0 -106 + 8x = 46 + 0 -106 + 8x = 46 Add '106' to each side of the equation. -106 + 106 + 8x = 46 + 106 Combine like terms: -106 + 106 = 0 0 + 8x = 46 + 106 8x = 46 + 106 Combine like terms: 46 + 106 = 152 8x = 152 Divide each side by '8'. x = 19 Simplifying x = 19
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