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Simplifying -4(2x + -7) + -1(3x + -7) = 0 Reorder the terms: -4(-7 + 2x) + -1(3x + -7) = 0 (-7 * -4 + 2x * -4) + -1(3x + -7) = 0 (28 + -8x) + -1(3x + -7) = 0 Reorder the terms: 28 + -8x + -1(-7 + 3x) = 0 28 + -8x + (-7 * -1 + 3x * -1) = 0 28 + -8x + (7 + -3x) = 0 Reorder the terms: 28 + 7 + -8x + -3x = 0 Combine like terms: 28 + 7 = 35 35 + -8x + -3x = 0 Combine like terms: -8x + -3x = -11x 35 + -11x = 0 Solving 35 + -11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -11x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -11x = 0 + -35 -11x = 0 + -35 Combine like terms: 0 + -35 = -35 -11x = -35 Divide each side by '-11'. x = 3.181818182 Simplifying x = 3.181818182
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