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Simplifying 13x + 21 + -9x = 3x + 66 Reorder the terms: 21 + 13x + -9x = 3x + 66 Combine like terms: 13x + -9x = 4x 21 + 4x = 3x + 66 Reorder the terms: 21 + 4x = 66 + 3x Solving 21 + 4x = 66 + 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 + 4x + -3x = 66 + 3x + -3x Combine like terms: 4x + -3x = 1x 21 + 1x = 66 + 3x + -3x Combine like terms: 3x + -3x = 0 21 + 1x = 66 + 0 21 + 1x = 66 Add '-21' to each side of the equation. 21 + -21 + 1x = 66 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = 66 + -21 1x = 66 + -21 Combine like terms: 66 + -21 = 45 1x = 45 Divide each side by '1'. x = 45 Simplifying x = 45
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