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Simplifying 2(x + -5) = 46 + -5x Reorder the terms: 2(-5 + x) = 46 + -5x (-5 * 2 + x * 2) = 46 + -5x (-10 + 2x) = 46 + -5x Solving -10 + 2x = 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. -10 + 2x + 5x = 46 + -5x + 5x Combine like terms: 2x + 5x = 7x -10 + 7x = 46 + -5x + 5x Combine like terms: -5x + 5x = 0 -10 + 7x = 46 + 0 -10 + 7x = 46 Add '10' to each side of the equation. -10 + 10 + 7x = 46 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = 46 + 10 7x = 46 + 10 Combine like terms: 46 + 10 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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