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Simplifying 38 + 8x = 6(x + 7) Reorder the terms: 38 + 8x = 6(7 + x) 38 + 8x = (7 * 6 + x * 6) 38 + 8x = (42 + 6x) Solving 38 + 8x = 42 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 38 + 8x + -6x = 42 + 6x + -6x Combine like terms: 8x + -6x = 2x 38 + 2x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 38 + 2x = 42 + 0 38 + 2x = 42 Add '-38' to each side of the equation. 38 + -38 + 2x = 42 + -38 Combine like terms: 38 + -38 = 0 0 + 2x = 42 + -38 2x = 42 + -38 Combine like terms: 42 + -38 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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