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Simplifying 9(x + 4) + -2(3x + -1) = 50 Reorder the terms: 9(4 + x) + -2(3x + -1) = 50 (4 * 9 + x * 9) + -2(3x + -1) = 50 (36 + 9x) + -2(3x + -1) = 50 Reorder the terms: 36 + 9x + -2(-1 + 3x) = 50 36 + 9x + (-1 * -2 + 3x * -2) = 50 36 + 9x + (2 + -6x) = 50 Reorder the terms: 36 + 2 + 9x + -6x = 50 Combine like terms: 36 + 2 = 38 38 + 9x + -6x = 50 Combine like terms: 9x + -6x = 3x 38 + 3x = 50 Solving 38 + 3x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 3x = 50 + -38 Combine like terms: 38 + -38 = 0 0 + 3x = 50 + -38 3x = 50 + -38 Combine like terms: 50 + -38 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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