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Simplifying 3x + -5(9x + -2) + -1(4x + 7) = 0 Reorder the terms: 3x + -5(-2 + 9x) + -1(4x + 7) = 0 3x + (-2 * -5 + 9x * -5) + -1(4x + 7) = 0 3x + (10 + -45x) + -1(4x + 7) = 0 Reorder the terms: 3x + 10 + -45x + -1(7 + 4x) = 0 3x + 10 + -45x + (7 * -1 + 4x * -1) = 0 3x + 10 + -45x + (-7 + -4x) = 0 Reorder the terms: 10 + -7 + 3x + -45x + -4x = 0 Combine like terms: 10 + -7 = 3 3 + 3x + -45x + -4x = 0 Combine like terms: 3x + -45x = -42x 3 + -42x + -4x = 0 Combine like terms: -42x + -4x = -46x 3 + -46x = 0 Solving 3 + -46x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -46x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -46x = 0 + -3 -46x = 0 + -3 Combine like terms: 0 + -3 = -3 -46x = -3 Divide each side by '-46'. x = 0.0652173913 Simplifying x = 0.0652173913
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