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Simplifying 6x + -21 = 3x + 75 Reorder the terms: -21 + 6x = 3x + 75 Reorder the terms: -21 + 6x = 75 + 3x Solving -21 + 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. -21 + 6x + -3x = 75 + 3x + -3x Combine like terms: 6x + -3x = 3x -21 + 3x = 75 + 3x + -3x Combine like terms: 3x + -3x = 0 -21 + 3x = 75 + 0 -21 + 3x = 75 Add '21' to each side of the equation. -21 + 21 + 3x = 75 + 21 Combine like terms: -21 + 21 = 0 0 + 3x = 75 + 21 3x = 75 + 21 Combine like terms: 75 + 21 = 96 3x = 96 Divide each side by '3'. x = 32 Simplifying x = 32
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