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Simplifying 9x + -7 = 5(x + 5) Reorder the terms: -7 + 9x = 5(x + 5) Reorder the terms: -7 + 9x = 5(5 + x) -7 + 9x = (5 * 5 + x * 5) -7 + 9x = (25 + 5x) Solving -7 + 9x = 25 + 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. -7 + 9x + -5x = 25 + 5x + -5x Combine like terms: 9x + -5x = 4x -7 + 4x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 4x = 25 + 0 -7 + 4x = 25 Add '7' to each side of the equation. -7 + 7 + 4x = 25 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 25 + 7 4x = 25 + 7 Combine like terms: 25 + 7 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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