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Simplifying -52 + 6x = 2x + 40 Reorder the terms: -52 + 6x = 40 + 2x Solving -52 + 6x = 40 + 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. -52 + 6x + -2x = 40 + 2x + -2x Combine like terms: 6x + -2x = 4x -52 + 4x = 40 + 2x + -2x Combine like terms: 2x + -2x = 0 -52 + 4x = 40 + 0 -52 + 4x = 40 Add '52' to each side of the equation. -52 + 52 + 4x = 40 + 52 Combine like terms: -52 + 52 = 0 0 + 4x = 40 + 52 4x = 40 + 52 Combine like terms: 40 + 52 = 92 4x = 92 Divide each side by '4'. x = 23 Simplifying x = 23
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