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Simplifying 2x + -6 = -2x + -46 Reorder the terms: -6 + 2x = -2x + -46 Reorder the terms: -6 + 2x = -46 + -2x Solving -6 + 2x = -46 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + 2x + 2x = -46 + -2x + 2x Combine like terms: 2x + 2x = 4x -6 + 4x = -46 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 4x = -46 + 0 -6 + 4x = -46 Add '6' to each side of the equation. -6 + 6 + 4x = -46 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = -46 + 6 4x = -46 + 6 Combine like terms: -46 + 6 = -40 4x = -40 Divide each side by '4'. x = -10 Simplifying x = -10
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