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Simplifying 7(x + -5) = 11 + -4x + 13 Reorder the terms: 7(-5 + x) = 11 + -4x + 13 (-5 * 7 + x * 7) = 11 + -4x + 13 (-35 + 7x) = 11 + -4x + 13 Reorder the terms: -35 + 7x = 11 + 13 + -4x Combine like terms: 11 + 13 = 24 -35 + 7x = 24 + -4x Solving -35 + 7x = 24 + -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 = 24 + -4x + 4x Combine like terms: 7x + 4x = 11x -35 + 11x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 -35 + 11x = 24 + 0 -35 + 11x = 24 Add '35' to each side of the equation. -35 + 35 + 11x = 24 + 35 Combine like terms: -35 + 35 = 0 0 + 11x = 24 + 35 11x = 24 + 35 Combine like terms: 24 + 35 = 59 11x = 59 Divide each side by '11'. x = 5.363636364 Simplifying x = 5.363636364
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