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Simplifying 7x + -1(2x + 7) = 9x + -15 Reorder the terms: 7x + -1(7 + 2x) = 9x + -15 7x + (7 * -1 + 2x * -1) = 9x + -15 7x + (-7 + -2x) = 9x + -15 Reorder the terms: -7 + 7x + -2x = 9x + -15 Combine like terms: 7x + -2x = 5x -7 + 5x = 9x + -15 Reorder the terms: -7 + 5x = -15 + 9x Solving -7 + 5x = -15 + 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. -7 + 5x + -9x = -15 + 9x + -9x Combine like terms: 5x + -9x = -4x -7 + -4x = -15 + 9x + -9x Combine like terms: 9x + -9x = 0 -7 + -4x = -15 + 0 -7 + -4x = -15 Add '7' to each side of the equation. -7 + 7 + -4x = -15 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = -15 + 7 -4x = -15 + 7 Combine like terms: -15 + 7 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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