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Simplifying 7x + -2 = -4(x + -5) Reorder the terms: -2 + 7x = -4(x + -5) Reorder the terms: -2 + 7x = -4(-5 + x) -2 + 7x = (-5 * -4 + x * -4) -2 + 7x = (20 + -4x) Solving -2 + 7x = 20 + -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. -2 + 7x + 4x = 20 + -4x + 4x Combine like terms: 7x + 4x = 11x -2 + 11x = 20 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 11x = 20 + 0 -2 + 11x = 20 Add '2' to each side of the equation. -2 + 2 + 11x = 20 + 2 Combine like terms: -2 + 2 = 0 0 + 11x = 20 + 2 11x = 20 + 2 Combine like terms: 20 + 2 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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