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Simplifying 3(x + 4) + -2 = 5(2X + 5) + -1X Reorder the terms: 3(4 + x) + -2 = 5(2X + 5) + -1X (4 * 3 + x * 3) + -2 = 5(2X + 5) + -1X (12 + 3x) + -2 = 5(2X + 5) + -1X Reorder the terms: 12 + -2 + 3x = 5(2X + 5) + -1X Combine like terms: 12 + -2 = 10 10 + 3x = 5(2X + 5) + -1X Reorder the terms: 10 + 3x = 5(5 + 2X) + -1X 10 + 3x = (5 * 5 + 2X * 5) + -1X 10 + 3x = (25 + 10X) + -1X Combine like terms: 10X + -1X = 9X 10 + 3x = 25 + 9X Solving 10 + 3x = 25 + 9X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3x = 25 + -10 + 9X Combine like terms: 10 + -10 = 0 0 + 3x = 25 + -10 + 9X 3x = 25 + -10 + 9X Combine like terms: 25 + -10 = 15 3x = 15 + 9X Divide each side by '3'. x = 5 + 3X Simplifying x = 5 + 3X
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