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Simplifying 9x + -1(4x + 7) = 7x + -27 Reorder the terms: 9x + -1(7 + 4x) = 7x + -27 9x + (7 * -1 + 4x * -1) = 7x + -27 9x + (-7 + -4x) = 7x + -27 Reorder the terms: -7 + 9x + -4x = 7x + -27 Combine like terms: 9x + -4x = 5x -7 + 5x = 7x + -27 Reorder the terms: -7 + 5x = -27 + 7x Solving -7 + 5x = -27 + 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. -7 + 5x + -7x = -27 + 7x + -7x Combine like terms: 5x + -7x = -2x -7 + -2x = -27 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + -2x = -27 + 0 -7 + -2x = -27 Add '7' to each side of the equation. -7 + 7 + -2x = -27 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = -27 + 7 -2x = -27 + 7 Combine like terms: -27 + 7 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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