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Simplifying 7(3x + -1) + -1(x + -2) = 0 Reorder the terms: 7(-1 + 3x) + -1(x + -2) = 0 (-1 * 7 + 3x * 7) + -1(x + -2) = 0 (-7 + 21x) + -1(x + -2) = 0 Reorder the terms: -7 + 21x + -1(-2 + x) = 0 -7 + 21x + (-2 * -1 + x * -1) = 0 -7 + 21x + (2 + -1x) = 0 Reorder the terms: -7 + 2 + 21x + -1x = 0 Combine like terms: -7 + 2 = -5 -5 + 21x + -1x = 0 Combine like terms: 21x + -1x = 20x -5 + 20x = 0 Solving -5 + 20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 20x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 20x = 0 + 5 20x = 0 + 5 Combine like terms: 0 + 5 = 5 20x = 5 Divide each side by '20'. x = 0.25 Simplifying x = 0.25
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