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Simplifying 2x + 19 + 3x + -1 = 52 + -3x + 30 Reorder the terms: 19 + -1 + 2x + 3x = 52 + -3x + 30 Combine like terms: 19 + -1 = 18 18 + 2x + 3x = 52 + -3x + 30 Combine like terms: 2x + 3x = 5x 18 + 5x = 52 + -3x + 30 Reorder the terms: 18 + 5x = 52 + 30 + -3x Combine like terms: 52 + 30 = 82 18 + 5x = 82 + -3x Solving 18 + 5x = 82 + -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. 18 + 5x + 3x = 82 + -3x + 3x Combine like terms: 5x + 3x = 8x 18 + 8x = 82 + -3x + 3x Combine like terms: -3x + 3x = 0 18 + 8x = 82 + 0 18 + 8x = 82 Add '-18' to each side of the equation. 18 + -18 + 8x = 82 + -18 Combine like terms: 18 + -18 = 0 0 + 8x = 82 + -18 8x = 82 + -18 Combine like terms: 82 + -18 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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