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Simplifying 7x + -1(5x + 9) = 7x + -49 Reorder the terms: 7x + -1(9 + 5x) = 7x + -49 7x + (9 * -1 + 5x * -1) = 7x + -49 7x + (-9 + -5x) = 7x + -49 Reorder the terms: -9 + 7x + -5x = 7x + -49 Combine like terms: 7x + -5x = 2x -9 + 2x = 7x + -49 Reorder the terms: -9 + 2x = -49 + 7x Solving -9 + 2x = -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. -9 + 2x + -7x = -49 + 7x + -7x Combine like terms: 2x + -7x = -5x -9 + -5x = -49 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + -5x = -49 + 0 -9 + -5x = -49 Add '9' to each side of the equation. -9 + 9 + -5x = -49 + 9 Combine like terms: -9 + 9 = 0 0 + -5x = -49 + 9 -5x = -49 + 9 Combine like terms: -49 + 9 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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