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Simplifying -1(5x + -11) + 3(3x + 7) = 0 Reorder the terms: -1(-11 + 5x) + 3(3x + 7) = 0 (-11 * -1 + 5x * -1) + 3(3x + 7) = 0 (11 + -5x) + 3(3x + 7) = 0 Reorder the terms: 11 + -5x + 3(7 + 3x) = 0 11 + -5x + (7 * 3 + 3x * 3) = 0 11 + -5x + (21 + 9x) = 0 Reorder the terms: 11 + 21 + -5x + 9x = 0 Combine like terms: 11 + 21 = 32 32 + -5x + 9x = 0 Combine like terms: -5x + 9x = 4x 32 + 4x = 0 Solving 32 + 4x = 0 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 + 4x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 4x = 0 + -32 4x = 0 + -32 Combine like terms: 0 + -32 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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