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Simplifying 3x + 22 + 2x + -3 = 47 + -3x + 36 Reorder the terms: 22 + -3 + 3x + 2x = 47 + -3x + 36 Combine like terms: 22 + -3 = 19 19 + 3x + 2x = 47 + -3x + 36 Combine like terms: 3x + 2x = 5x 19 + 5x = 47 + -3x + 36 Reorder the terms: 19 + 5x = 47 + 36 + -3x Combine like terms: 47 + 36 = 83 19 + 5x = 83 + -3x Solving 19 + 5x = 83 + -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 + 5x + 3x = 83 + -3x + 3x Combine like terms: 5x + 3x = 8x 19 + 8x = 83 + -3x + 3x Combine like terms: -3x + 3x = 0 19 + 8x = 83 + 0 19 + 8x = 83 Add '-19' to each side of the equation. 19 + -19 + 8x = 83 + -19 Combine like terms: 19 + -19 = 0 0 + 8x = 83 + -19 8x = 83 + -19 Combine like terms: 83 + -19 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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