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Simplifying 7x + -1(5x + 6) = 9x + -13 Reorder the terms: 7x + -1(6 + 5x) = 9x + -13 7x + (6 * -1 + 5x * -1) = 9x + -13 7x + (-6 + -5x) = 9x + -13 Reorder the terms: -6 + 7x + -5x = 9x + -13 Combine like terms: 7x + -5x = 2x -6 + 2x = 9x + -13 Reorder the terms: -6 + 2x = -13 + 9x Solving -6 + 2x = -13 + 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. -6 + 2x + -9x = -13 + 9x + -9x Combine like terms: 2x + -9x = -7x -6 + -7x = -13 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + -7x = -13 + 0 -6 + -7x = -13 Add '6' to each side of the equation. -6 + 6 + -7x = -13 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = -13 + 6 -7x = -13 + 6 Combine like terms: -13 + 6 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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