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Simplifying 38 = 3(x + 6) + -8x Reorder the terms: 38 = 3(6 + x) + -8x 38 = (6 * 3 + x * 3) + -8x 38 = (18 + 3x) + -8x Combine like terms: 3x + -8x = -5x 38 = 18 + -5x Solving 38 = 18 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 38 + 5x = 18 + -5x + 5x Combine like terms: -5x + 5x = 0 38 + 5x = 18 + 0 38 + 5x = 18 Add '-38' to each side of the equation. 38 + -38 + 5x = 18 + -38 Combine like terms: 38 + -38 = 0 0 + 5x = 18 + -38 5x = 18 + -38 Combine like terms: 18 + -38 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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