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Simplifying 4(3x + -2) + -7(x + -1) = 0 Reorder the terms: 4(-2 + 3x) + -7(x + -1) = 0 (-2 * 4 + 3x * 4) + -7(x + -1) = 0 (-8 + 12x) + -7(x + -1) = 0 Reorder the terms: -8 + 12x + -7(-1 + x) = 0 -8 + 12x + (-1 * -7 + x * -7) = 0 -8 + 12x + (7 + -7x) = 0 Reorder the terms: -8 + 7 + 12x + -7x = 0 Combine like terms: -8 + 7 = -1 -1 + 12x + -7x = 0 Combine like terms: 12x + -7x = 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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