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Simplifying 4(-9 + -1x) + -1(-5x) + 7(5x + 7) = 0 (-9 * 4 + -1x * 4) + -1(-5x) + 7(5x + 7) = 0 (-36 + -4x) + -1(-5x) + 7(5x + 7) = 0 Remove parenthesis around (-5x) -36 + -4x + -1 * -5x + 7(5x + 7) = 0 Multiply -1 * -5 -36 + -4x + 5x + 7(5x + 7) = 0 Reorder the terms: -36 + -4x + 5x + 7(7 + 5x) = 0 -36 + -4x + 5x + (7 * 7 + 5x * 7) = 0 -36 + -4x + 5x + (49 + 35x) = 0 Reorder the terms: -36 + 49 + -4x + 5x + 35x = 0 Combine like terms: -36 + 49 = 13 13 + -4x + 5x + 35x = 0 Combine like terms: -4x + 5x = 1x 13 + 1x + 35x = 0 Combine like terms: 1x + 35x = 36x 13 + 36x = 0 Solving 13 + 36x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 36x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 36x = 0 + -13 36x = 0 + -13 Combine like terms: 0 + -13 = -13 36x = -13 Divide each side by '36'. x = -0.3611111111 Simplifying x = -0.3611111111
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