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Simplifying 7(X + 5) + -3 = 50 + -1(3x + 4) Reorder the terms: 7(5 + X) + -3 = 50 + -1(3x + 4) (5 * 7 + X * 7) + -3 = 50 + -1(3x + 4) (35 + 7X) + -3 = 50 + -1(3x + 4) Reorder the terms: 35 + -3 + 7X = 50 + -1(3x + 4) Combine like terms: 35 + -3 = 32 32 + 7X = 50 + -1(3x + 4) Reorder the terms: 32 + 7X = 50 + -1(4 + 3x) 32 + 7X = 50 + (4 * -1 + 3x * -1) 32 + 7X = 50 + (-4 + -3x) Combine like terms: 50 + -4 = 46 32 + 7X = 46 + -3x Solving 32 + 7X = 46 + -3x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 7X = 46 + -32 + -3x Combine like terms: 32 + -32 = 0 0 + 7X = 46 + -32 + -3x 7X = 46 + -32 + -3x Combine like terms: 46 + -32 = 14 7X = 14 + -3x Divide each side by '7'. X = 2 + -0.4285714286x Simplifying X = 2 + -0.4285714286x
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