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