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Simplifying 2 + 7(x + -5) = 8 + -4(x + -5) Reorder the terms: 2 + 7(-5 + x) = 8 + -4(x + -5) 2 + (-5 * 7 + x * 7) = 8 + -4(x + -5) 2 + (-35 + 7x) = 8 + -4(x + -5) Combine like terms: 2 + -35 = -33 -33 + 7x = 8 + -4(x + -5) Reorder the terms: -33 + 7x = 8 + -4(-5 + x) -33 + 7x = 8 + (-5 * -4 + x * -4) -33 + 7x = 8 + (20 + -4x) Combine like terms: 8 + 20 = 28 -33 + 7x = 28 + -4x Solving -33 + 7x = 28 + -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. -33 + 7x + 4x = 28 + -4x + 4x Combine like terms: 7x + 4x = 11x -33 + 11x = 28 + -4x + 4x Combine like terms: -4x + 4x = 0 -33 + 11x = 28 + 0 -33 + 11x = 28 Add '33' to each side of the equation. -33 + 33 + 11x = 28 + 33 Combine like terms: -33 + 33 = 0 0 + 11x = 28 + 33 11x = 28 + 33 Combine like terms: 28 + 33 = 61 11x = 61 Divide each side by '11'. x = 5.545454545 Simplifying x = 5.545454545
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