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Simplifying 2x + 42 = 3x + -10 Reorder the terms: 42 + 2x = 3x + -10 Reorder the terms: 42 + 2x = -10 + 3x Solving 42 + 2x = -10 + 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. 42 + 2x + -3x = -10 + 3x + -3x Combine like terms: 2x + -3x = -1x 42 + -1x = -10 + 3x + -3x Combine like terms: 3x + -3x = 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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