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Simplifying 2(3x + -5) + 2x = 46 Reorder the terms: 2(-5 + 3x) + 2x = 46 (-5 * 2 + 3x * 2) + 2x = 46 (-10 + 6x) + 2x = 46 Combine like terms: 6x + 2x = 8x -10 + 8x = 46 Solving -10 + 8x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 8x = 46 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = 46 + 10 8x = 46 + 10 Combine like terms: 46 + 10 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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