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Simplifying 4(7 + -2x) + -1(3x + 5) = 0 (7 * 4 + -2x * 4) + -1(3x + 5) = 0 (28 + -8x) + -1(3x + 5) = 0 Reorder the terms: 28 + -8x + -1(5 + 3x) = 0 28 + -8x + (5 * -1 + 3x * -1) = 0 28 + -8x + (-5 + -3x) = 0 Reorder the terms: 28 + -5 + -8x + -3x = 0 Combine like terms: 28 + -5 = 23 23 + -8x + -3x = 0 Combine like terms: -8x + -3x = -11x 23 + -11x = 0 Solving 23 + -11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -11x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -11x = 0 + -23 -11x = 0 + -23 Combine like terms: 0 + -23 = -23 -11x = -23 Divide each side by '-11'. x = 2.090909091 Simplifying x = 2.090909091
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