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Simplifying 2x + 10 = 3x + 42 Reorder the terms: 10 + 2x = 3x + 42 Reorder the terms: 10 + 2x = 42 + 3x Solving 10 + 2x = 42 + 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 = 42 + 3x + -3x Combine like terms: 2x + -3x = -1x 10 + -1x = 42 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -1x = 42 + 0 10 + -1x = 42 Add '-10' to each side of the equation. 10 + -10 + -1x = 42 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 42 + -10 -1x = 42 + -10 Combine like terms: 42 + -10 = 32 -1x = 32 Divide each side by '-1'. x = -32 Simplifying x = -32
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