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Simplifying 7x + 7(x + -7) = 24 + 5x Reorder the terms: 7x + 7(-7 + x) = 24 + 5x 7x + (-7 * 7 + x * 7) = 24 + 5x 7x + (-49 + 7x) = 24 + 5x Reorder the terms: -49 + 7x + 7x = 24 + 5x Combine like terms: 7x + 7x = 14x -49 + 14x = 24 + 5x Solving -49 + 14x = 24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -49 + 14x + -5x = 24 + 5x + -5x Combine like terms: 14x + -5x = 9x -49 + 9x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 -49 + 9x = 24 + 0 -49 + 9x = 24 Add '49' to each side of the equation. -49 + 49 + 9x = 24 + 49 Combine like terms: -49 + 49 = 0 0 + 9x = 24 + 49 9x = 24 + 49 Combine like terms: 24 + 49 = 73 9x = 73 Divide each side by '9'. x = 8.111111111 Simplifying x = 8.111111111
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