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Simplifying 6(1 + -6x) + 4(x + 2) = -50 (1 * 6 + -6x * 6) + 4(x + 2) = -50 (6 + -36x) + 4(x + 2) = -50 Reorder the terms: 6 + -36x + 4(2 + x) = -50 6 + -36x + (2 * 4 + x * 4) = -50 6 + -36x + (8 + 4x) = -50 Reorder the terms: 6 + 8 + -36x + 4x = -50 Combine like terms: 6 + 8 = 14 14 + -36x + 4x = -50 Combine like terms: -36x + 4x = -32x 14 + -32x = -50 Solving 14 + -32x = -50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -32x = -50 + -14 Combine like terms: 14 + -14 = 0 0 + -32x = -50 + -14 -32x = -50 + -14 Combine like terms: -50 + -14 = -64 -32x = -64 Divide each side by '-32'. x = 2 Simplifying x = 2
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