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Simplifying 5(4x + -7) + -2(3x + -1) = 5 Reorder the terms: 5(-7 + 4x) + -2(3x + -1) = 5 (-7 * 5 + 4x * 5) + -2(3x + -1) = 5 (-35 + 20x) + -2(3x + -1) = 5 Reorder the terms: -35 + 20x + -2(-1 + 3x) = 5 -35 + 20x + (-1 * -2 + 3x * -2) = 5 -35 + 20x + (2 + -6x) = 5 Reorder the terms: -35 + 2 + 20x + -6x = 5 Combine like terms: -35 + 2 = -33 -33 + 20x + -6x = 5 Combine like terms: 20x + -6x = 14x -33 + 14x = 5 Solving -33 + 14x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 14x = 5 + 33 Combine like terms: -33 + 33 = 0 0 + 14x = 5 + 33 14x = 5 + 33 Combine like terms: 5 + 33 = 38 14x = 38 Divide each side by '14'. x = 2.714285714 Simplifying x = 2.714285714
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