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Simplifying (-3)(3x + 5) + -1(2)(x + 4) = 0 Reorder the terms: -3(5 + 3x) + -1(2)(x + 4) = 0 (5 * -3 + 3x * -3) + -1(2)(x + 4) = 0 (-15 + -9x) + -1(2)(x + 4) = 0 Reorder the terms: -15 + -9x + -1 * 2(4 + x) = 0 Multiply -1 * 2 -15 + -9x + -2(4 + x) = 0 -15 + -9x + (4 * -2 + x * -2) = 0 -15 + -9x + (-8 + -2x) = 0 Reorder the terms: -15 + -8 + -9x + -2x = 0 Combine like terms: -15 + -8 = -23 -23 + -9x + -2x = 0 Combine like terms: -9x + -2x = -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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