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Simplifying -46 = -2x + -2(2x + -10) Reorder the terms: -46 = -2x + -2(-10 + 2x) -46 = -2x + (-10 * -2 + 2x * -2) -46 = -2x + (20 + -4x) Reorder the terms: -46 = 20 + -2x + -4x Combine like terms: -2x + -4x = -6x -46 = 20 + -6x Solving -46 = 20 + -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. -46 + 6x = 20 + -6x + 6x Combine like terms: -6x + 6x = 0 -46 + 6x = 20 + 0 -46 + 6x = 20 Add '46' to each side of the equation. -46 + 46 + 6x = 20 + 46 Combine like terms: -46 + 46 = 0 0 + 6x = 20 + 46 6x = 20 + 46 Combine like terms: 20 + 46 = 66 6x = 66 Divide each side by '6'. x = 11 Simplifying x = 11
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