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Simplifying 38 = 7x + 5(x + 6) Reorder the terms: 38 = 7x + 5(6 + x) 38 = 7x + (6 * 5 + x * 5) 38 = 7x + (30 + 5x) Reorder the terms: 38 = 30 + 7x + 5x Combine like terms: 7x + 5x = 12x 38 = 30 + 12x Solving 38 = 30 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 38 + -12x = 30 + 12x + -12x Combine like terms: 12x + -12x = 0 38 + -12x = 30 + 0 38 + -12x = 30 Add '-38' to each side of the equation. 38 + -38 + -12x = 30 + -38 Combine like terms: 38 + -38 = 0 0 + -12x = 30 + -38 -12x = 30 + -38 Combine like terms: 30 + -38 = -8 -12x = -8 Divide each side by '-12'. x = 0.6666666667 Simplifying x = 0.6666666667
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