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Simplifying 2x + -10 = 3x + -52 Reorder the terms: -10 + 2x = 3x + -52 Reorder the terms: -10 + 2x = -52 + 3x Solving -10 + 2x = -52 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + 2x + -3x = -52 + 3x + -3x Combine like terms: 2x + -3x = -1x -10 + -1x = -52 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + -1x = -52 + 0 -10 + -1x = -52 Add '10' to each side of the equation. -10 + 10 + -1x = -52 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = -52 + 10 -1x = -52 + 10 Combine like terms: -52 + 10 = -42 -1x = -42 Divide each side by '-1'. x = 42 Simplifying x = 42
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