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Simplifying 5 + -1(5x + 14) = 27 + -9x Reorder the terms: 5 + -1(14 + 5x) = 27 + -9x 5 + (14 * -1 + 5x * -1) = 27 + -9x 5 + (-14 + -5x) = 27 + -9x Combine like terms: 5 + -14 = -9 -9 + -5x = 27 + -9x Solving -9 + -5x = 27 + -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. -9 + -5x + 9x = 27 + -9x + 9x Combine like terms: -5x + 9x = 4x -9 + 4x = 27 + -9x + 9x Combine like terms: -9x + 9x = 0 -9 + 4x = 27 + 0 -9 + 4x = 27 Add '9' to each side of the equation. -9 + 9 + 4x = 27 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = 27 + 9 4x = 27 + 9 Combine like terms: 27 + 9 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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