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Simplifying 7(x + -2) + 5 = 5x + 9 Reorder the terms: 7(-2 + x) + 5 = 5x + 9 (-2 * 7 + x * 7) + 5 = 5x + 9 (-14 + 7x) + 5 = 5x + 9 Reorder the terms: -14 + 5 + 7x = 5x + 9 Combine like terms: -14 + 5 = -9 -9 + 7x = 5x + 9 Reorder the terms: -9 + 7x = 9 + 5x Solving -9 + 7x = 9 + 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. -9 + 7x + -5x = 9 + 5x + -5x Combine like terms: 7x + -5x = 2x -9 + 2x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + 2x = 9 + 0 -9 + 2x = 9 Add '9' to each side of the equation. -9 + 9 + 2x = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 9 + 9 2x = 9 + 9 Combine like terms: 9 + 9 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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