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Simplifying 5x + 9(x + -3) = 4(3x + -9) + 16 Reorder the terms: 5x + 9(-3 + x) = 4(3x + -9) + 16 5x + (-3 * 9 + x * 9) = 4(3x + -9) + 16 5x + (-27 + 9x) = 4(3x + -9) + 16 Reorder the terms: -27 + 5x + 9x = 4(3x + -9) + 16 Combine like terms: 5x + 9x = 14x -27 + 14x = 4(3x + -9) + 16 Reorder the terms: -27 + 14x = 4(-9 + 3x) + 16 -27 + 14x = (-9 * 4 + 3x * 4) + 16 -27 + 14x = (-36 + 12x) + 16 Reorder the terms: -27 + 14x = -36 + 16 + 12x Combine like terms: -36 + 16 = -20 -27 + 14x = -20 + 12x Solving -27 + 14x = -20 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -27 + 14x + -12x = -20 + 12x + -12x Combine like terms: 14x + -12x = 2x -27 + 2x = -20 + 12x + -12x Combine like terms: 12x + -12x = 0 -27 + 2x = -20 + 0 -27 + 2x = -20 Add '27' to each side of the equation. -27 + 27 + 2x = -20 + 27 Combine like terms: -27 + 27 = 0 0 + 2x = -20 + 27 2x = -20 + 27 Combine like terms: -20 + 27 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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