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Simplifying 2x + 5(x + -7) = 4(x + -1) Reorder the terms: 2x + 5(-7 + x) = 4(x + -1) 2x + (-7 * 5 + x * 5) = 4(x + -1) 2x + (-35 + 5x) = 4(x + -1) Reorder the terms: -35 + 2x + 5x = 4(x + -1) Combine like terms: 2x + 5x = 7x -35 + 7x = 4(x + -1) Reorder the terms: -35 + 7x = 4(-1 + x) -35 + 7x = (-1 * 4 + x * 4) -35 + 7x = (-4 + 4x) Solving -35 + 7x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -35 + 7x + -4x = -4 + 4x + -4x Combine like terms: 7x + -4x = 3x -35 + 3x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 -35 + 3x = -4 + 0 -35 + 3x = -4 Add '35' to each side of the equation. -35 + 35 + 3x = -4 + 35 Combine like terms: -35 + 35 = 0 0 + 3x = -4 + 35 3x = -4 + 35 Combine like terms: -4 + 35 = 31 3x = 31 Divide each side by '3'. x = 10.33333333 Simplifying x = 10.33333333
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