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Simplifying 38 + 8x = 6x + 2(1 + 7x) 38 + 8x = 6x + (1 * 2 + 7x * 2) 38 + 8x = 6x + (2 + 14x) Reorder the terms: 38 + 8x = 2 + 6x + 14x Combine like terms: 6x + 14x = 20x 38 + 8x = 2 + 20x Solving 38 + 8x = 2 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 38 + 8x + -20x = 2 + 20x + -20x Combine like terms: 8x + -20x = -12x 38 + -12x = 2 + 20x + -20x Combine like terms: 20x + -20x = 0 38 + -12x = 2 + 0 38 + -12x = 2 Add '-38' to each side of the equation. 38 + -38 + -12x = 2 + -38 Combine like terms: 38 + -38 = 0 0 + -12x = 2 + -38 -12x = 2 + -38 Combine like terms: 2 + -38 = -36 -12x = -36 Divide each side by '-12'. x = 3 Simplifying x = 3
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