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Simplifying 2(3x + 1) + 5 + -3 = x + 22 + 2 Reorder the terms: 2(1 + 3x) + 5 + -3 = x + 22 + 2 (1 * 2 + 3x * 2) + 5 + -3 = x + 22 + 2 (2 + 6x) + 5 + -3 = x + 22 + 2 Reorder the terms: 2 + 5 + -3 + 6x = x + 22 + 2 Combine like terms: 2 + 5 = 7 7 + -3 + 6x = x + 22 + 2 Combine like terms: 7 + -3 = 4 4 + 6x = x + 22 + 2 Reorder the terms: 4 + 6x = 22 + 2 + x Combine like terms: 22 + 2 = 24 4 + 6x = 24 + x Solving 4 + 6x = 24 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4 + 6x + -1x = 24 + x + -1x Combine like terms: 6x + -1x = 5x 4 + 5x = 24 + x + -1x Combine like terms: x + -1x = 0 4 + 5x = 24 + 0 4 + 5x = 24 Add '-4' to each side of the equation. 4 + -4 + 5x = 24 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 24 + -4 5x = 24 + -4 Combine like terms: 24 + -4 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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