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Simplifying 2(7x + -4) + -9(x + -1) = 0 Reorder the terms: 2(-4 + 7x) + -9(x + -1) = 0 (-4 * 2 + 7x * 2) + -9(x + -1) = 0 (-8 + 14x) + -9(x + -1) = 0 Reorder the terms: -8 + 14x + -9(-1 + x) = 0 -8 + 14x + (-1 * -9 + x * -9) = 0 -8 + 14x + (9 + -9x) = 0 Reorder the terms: -8 + 9 + 14x + -9x = 0 Combine like terms: -8 + 9 = 1 1 + 14x + -9x = 0 Combine like terms: 14x + -9x = 5x 1 + 5x = 0 Solving 1 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2
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