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Simplifying 2(4x + -5) = (7x + -1) Reorder the terms: 2(-5 + 4x) = (7x + -1) (-5 * 2 + 4x * 2) = (7x + -1) (-10 + 8x) = (7x + -1) Reorder the terms: -10 + 8x = (-1 + 7x) Remove parenthesis around (-1 + 7x) -10 + 8x = -1 + 7x Solving -10 + 8x = -1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -10 + 8x + -7x = -1 + 7x + -7x Combine like terms: 8x + -7x = 1x -10 + 1x = -1 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 + 1x = -1 + 0 -10 + 1x = -1 Add '10' to each side of the equation. -10 + 10 + 1x = -1 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -1 + 10 1x = -1 + 10 Combine like terms: -1 + 10 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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