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Simplifying 2(x + -5) = 46 + -6x Reorder the terms: 2(-5 + x) = 46 + -6x (-5 * 2 + x * 2) = 46 + -6x (-10 + 2x) = 46 + -6x Solving -10 + 2x = 46 + -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. -10 + 2x + 6x = 46 + -6x + 6x Combine like terms: 2x + 6x = 8x -10 + 8x = 46 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + 8x = 46 + 0 -10 + 8x = 46 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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