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Simplifying 3x + 21 + 3x + -2 = 52 + -3x + 39 Reorder the terms: 21 + -2 + 3x + 3x = 52 + -3x + 39 Combine like terms: 21 + -2 = 19 19 + 3x + 3x = 52 + -3x + 39 Combine like terms: 3x + 3x = 6x 19 + 6x = 52 + -3x + 39 Reorder the terms: 19 + 6x = 52 + 39 + -3x Combine like terms: 52 + 39 = 91 19 + 6x = 91 + -3x Solving 19 + 6x = 91 + -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. 19 + 6x + 3x = 91 + -3x + 3x Combine like terms: 6x + 3x = 9x 19 + 9x = 91 + -3x + 3x Combine like terms: -3x + 3x = 0 19 + 9x = 91 + 0 19 + 9x = 91 Add '-19' to each side of the equation. 19 + -19 + 9x = 91 + -19 Combine like terms: 19 + -19 = 0 0 + 9x = 91 + -19 9x = 91 + -19 Combine like terms: 91 + -19 = 72 9x = 72 Divide each side by '9'. x = 8 Simplifying x = 8
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