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Simplifying 7(2x + -1) + -1(5x + -4) + (9x + -7) = 0 Reorder the terms: 7(-1 + 2x) + -1(5x + -4) + (9x + -7) = 0 (-1 * 7 + 2x * 7) + -1(5x + -4) + (9x + -7) = 0 (-7 + 14x) + -1(5x + -4) + (9x + -7) = 0 Reorder the terms: -7 + 14x + -1(-4 + 5x) + (9x + -7) = 0 -7 + 14x + (-4 * -1 + 5x * -1) + (9x + -7) = 0 -7 + 14x + (4 + -5x) + (9x + -7) = 0 Reorder the terms: -7 + 14x + 4 + -5x + (-7 + 9x) = 0 Remove parenthesis around (-7 + 9x) -7 + 14x + 4 + -5x + -7 + 9x = 0 Reorder the terms: -7 + 4 + -7 + 14x + -5x + 9x = 0 Combine like terms: -7 + 4 = -3 -3 + -7 + 14x + -5x + 9x = 0 Combine like terms: -3 + -7 = -10 -10 + 14x + -5x + 9x = 0 Combine like terms: 14x + -5x = 9x -10 + 9x + 9x = 0 Combine like terms: 9x + 9x = 18x -10 + 18x = 0 Solving -10 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 18x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 18x = 0 + 10 18x = 0 + 10 Combine like terms: 0 + 10 = 10 18x = 10 Divide each side by '18'. x = 0.5555555556 Simplifying x = 0.5555555556
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