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Simplifying 38 = 2(x + 7) + 6x Reorder the terms: 38 = 2(7 + x) + 6x 38 = (7 * 2 + x * 2) + 6x 38 = (14 + 2x) + 6x Combine like terms: 2x + 6x = 8x 38 = 14 + 8x Solving 38 = 14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 38 + -8x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 38 + -8x = 14 + 0 38 + -8x = 14 Add '-38' to each side of the equation. 38 + -38 + -8x = 14 + -38 Combine like terms: 38 + -38 = 0 0 + -8x = 14 + -38 -8x = 14 + -38 Combine like terms: 14 + -38 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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