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Simplifying 7x + -7(x + -7) = 24 + 4x Reorder the terms: 7x + -7(-7 + x) = 24 + 4x 7x + (-7 * -7 + x * -7) = 24 + 4x 7x + (49 + -7x) = 24 + 4x Reorder the terms: 49 + 7x + -7x = 24 + 4x Combine like terms: 7x + -7x = 0 49 + 0 = 24 + 4x 49 = 24 + 4x Solving 49 = 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. 49 + -4x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 49 + -4x = 24 + 0 49 + -4x = 24 Add '-49' to each side of the equation. 49 + -49 + -4x = 24 + -49 Combine like terms: 49 + -49 = 0 0 + -4x = 24 + -49 -4x = 24 + -49 Combine like terms: 24 + -49 = -25 -4x = -25 Divide each side by '-4'. x = 6.25 Simplifying x = 6.25
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