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Simplifying (3x + -42) = (2x + 10) Reorder the terms: (-42 + 3x) = (2x + 10) Remove parenthesis around (-42 + 3x) -42 + 3x = (2x + 10) Reorder the terms: -42 + 3x = (10 + 2x) Remove parenthesis around (10 + 2x) -42 + 3x = 10 + 2x Solving -42 + 3x = 10 + 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. -42 + 3x + -2x = 10 + 2x + -2x Combine like terms: 3x + -2x = 1x -42 + 1x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -42 + 1x = 10 + 0 -42 + 1x = 10 Add '42' to each side of the equation. -42 + 42 + 1x = 10 + 42 Combine like terms: -42 + 42 = 0 0 + 1x = 10 + 42 1x = 10 + 42 Combine like terms: 10 + 42 = 52 1x = 52 Divide each side by '1'. x = 52 Simplifying x = 52
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