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Simplifying 5x + (9x + -5) = 7(x + 7) Reorder the terms: 5x + (-5 + 9x) = 7(x + 7) Remove parenthesis around (-5 + 9x) 5x + -5 + 9x = 7(x + 7) Reorder the terms: -5 + 5x + 9x = 7(x + 7) Combine like terms: 5x + 9x = 14x -5 + 14x = 7(x + 7) Reorder the terms: -5 + 14x = 7(7 + x) -5 + 14x = (7 * 7 + x * 7) -5 + 14x = (49 + 7x) Solving -5 + 14x = 49 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -5 + 14x + -7x = 49 + 7x + -7x Combine like terms: 14x + -7x = 7x -5 + 7x = 49 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + 7x = 49 + 0 -5 + 7x = 49 Add '5' to each side of the equation. -5 + 5 + 7x = 49 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = 49 + 5 7x = 49 + 5 Combine like terms: 49 + 5 = 54 7x = 54 Divide each side by '7'. x = 7.714285714 Simplifying x = 7.714285714
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