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Simplifying 38x + -7 = 26(x + -3) Reorder the terms: -7 + 38x = 26(x + -3) Reorder the terms: -7 + 38x = 26(-3 + x) -7 + 38x = (-3 * 26 + x * 26) -7 + 38x = (-78 + 26x) Solving -7 + 38x = -78 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. -7 + 38x + -26x = -78 + 26x + -26x Combine like terms: 38x + -26x = 12x -7 + 12x = -78 + 26x + -26x Combine like terms: 26x + -26x = 0 -7 + 12x = -78 + 0 -7 + 12x = -78 Add '7' to each side of the equation. -7 + 7 + 12x = -78 + 7 Combine like terms: -7 + 7 = 0 0 + 12x = -78 + 7 12x = -78 + 7 Combine like terms: -78 + 7 = -71 12x = -71 Divide each side by '12'. x = -5.916666667 Simplifying x = -5.916666667
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