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Simplifying 6x + 42 = 3x + 75 Reorder the terms: 42 + 6x = 3x + 75 Reorder the terms: 42 + 6x = 75 + 3x Solving 42 + 6x = 75 + 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 + 6x + -3x = 75 + 3x + -3x Combine like terms: 6x + -3x = 3x 42 + 3x = 75 + 3x + -3x Combine like terms: 3x + -3x = 0 42 + 3x = 75 + 0 42 + 3x = 75 Add '-42' to each side of the equation. 42 + -42 + 3x = 75 + -42 Combine like terms: 42 + -42 = 0 0 + 3x = 75 + -42 3x = 75 + -42 Combine like terms: 75 + -42 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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