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Simplifying 5(2x + -4) + -1(3x + 1) = 2 Reorder the terms: 5(-4 + 2x) + -1(3x + 1) = 2 (-4 * 5 + 2x * 5) + -1(3x + 1) = 2 (-20 + 10x) + -1(3x + 1) = 2 Reorder the terms: -20 + 10x + -1(1 + 3x) = 2 -20 + 10x + (1 * -1 + 3x * -1) = 2 -20 + 10x + (-1 + -3x) = 2 Reorder the terms: -20 + -1 + 10x + -3x = 2 Combine like terms: -20 + -1 = -21 -21 + 10x + -3x = 2 Combine like terms: 10x + -3x = 7x -21 + 7x = 2 Solving -21 + 7x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 7x = 2 + 21 Combine like terms: -21 + 21 = 0 0 + 7x = 2 + 21 7x = 2 + 21 Combine like terms: 2 + 21 = 23 7x = 23 Divide each side by '7'. x = 3.285714286 Simplifying x = 3.285714286
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