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Simplifying 2x + 42 = 6x + -52 Reorder the terms: 42 + 2x = 6x + -52 Reorder the terms: 42 + 2x = -52 + 6x Solving 42 + 2x = -52 + 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. 42 + 2x + -6x = -52 + 6x + -6x Combine like terms: 2x + -6x = -4x 42 + -4x = -52 + 6x + -6x Combine like terms: 6x + -6x = 0 42 + -4x = -52 + 0 42 + -4x = -52 Add '-42' to each side of the equation. 42 + -42 + -4x = -52 + -42 Combine like terms: 42 + -42 = 0 0 + -4x = -52 + -42 -4x = -52 + -42 Combine like terms: -52 + -42 = -94 -4x = -94 Divide each side by '-4'. x = 23.5 Simplifying x = 23.5
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