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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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