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Simplifying 8x + (-5x + -9) = 3x + [-5x + -9(x + 3)] Reorder the terms: 8x + (-9 + -5x) = 3x + [-5x + -9(x + 3)] Remove parenthesis around (-9 + -5x) 8x + -9 + -5x = 3x + [-5x + -9(x + 3)] Reorder the terms: -9 + 8x + -5x = 3x + [-5x + -9(x + 3)] Combine like terms: 8x + -5x = 3x -9 + 3x = 3x + [-5x + -9(x + 3)] Reorder the terms: -9 + 3x = 3x + [-5x + -9(3 + x)] -9 + 3x = 3x + [-5x + (3 * -9 + x * -9)] -9 + 3x = 3x + [-5x + (-27 + -9x)] Reorder the terms: -9 + 3x = 3x + [-27 + -5x + -9x] Combine like terms: -5x + -9x = -14x -9 + 3x = 3x + [-27 + -14x] Remove brackets around [-27 + -14x] -9 + 3x = 3x + -27 + -14x Reorder the terms: -9 + 3x = -27 + 3x + -14x Combine like terms: 3x + -14x = -11x -9 + 3x = -27 + -11x Solving -9 + 3x = -27 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -9 + 3x + 11x = -27 + -11x + 11x Combine like terms: 3x + 11x = 14x -9 + 14x = -27 + -11x + 11x Combine like terms: -11x + 11x = 0 -9 + 14x = -27 + 0 -9 + 14x = -27 Add '9' to each side of the equation. -9 + 9 + 14x = -27 + 9 Combine like terms: -9 + 9 = 0 0 + 14x = -27 + 9 14x = -27 + 9 Combine like terms: -27 + 9 = -18 14x = -18 Divide each side by '14'. x = -1.285714286 Simplifying x = -1.285714286
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