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Simplifying 7x + 1 + -1(9x + 5) = -9x + -5 Reorder the terms: 7x + 1 + -1(5 + 9x) = -9x + -5 7x + 1 + (5 * -1 + 9x * -1) = -9x + -5 7x + 1 + (-5 + -9x) = -9x + -5 Reorder the terms: 1 + -5 + 7x + -9x = -9x + -5 Combine like terms: 1 + -5 = -4 -4 + 7x + -9x = -9x + -5 Combine like terms: 7x + -9x = -2x -4 + -2x = -9x + -5 Reorder the terms: -4 + -2x = -5 + -9x Solving -4 + -2x = -5 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -4 + -2x + 9x = -5 + -9x + 9x Combine like terms: -2x + 9x = 7x -4 + 7x = -5 + -9x + 9x Combine like terms: -9x + 9x = 0 -4 + 7x = -5 + 0 -4 + 7x = -5 Add '4' to each side of the equation. -4 + 4 + 7x = -5 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = -5 + 4 7x = -5 + 4 Combine like terms: -5 + 4 = -1 7x = -1 Divide each side by '7'. x = -0.1428571429 Simplifying x = -0.1428571429
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