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Simplifying 9x + 3(x + -2) = 5x + -7(1 + -4x) Reorder the terms: 9x + 3(-2 + x) = 5x + -7(1 + -4x) 9x + (-2 * 3 + x * 3) = 5x + -7(1 + -4x) 9x + (-6 + 3x) = 5x + -7(1 + -4x) Reorder the terms: -6 + 9x + 3x = 5x + -7(1 + -4x) Combine like terms: 9x + 3x = 12x -6 + 12x = 5x + -7(1 + -4x) -6 + 12x = 5x + (1 * -7 + -4x * -7) -6 + 12x = 5x + (-7 + 28x) Reorder the terms: -6 + 12x = -7 + 5x + 28x Combine like terms: 5x + 28x = 33x -6 + 12x = -7 + 33x Solving -6 + 12x = -7 + 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. -6 + 12x + -33x = -7 + 33x + -33x Combine like terms: 12x + -33x = -21x -6 + -21x = -7 + 33x + -33x Combine like terms: 33x + -33x = 0 -6 + -21x = -7 + 0 -6 + -21x = -7 Add '6' to each side of the equation. -6 + 6 + -21x = -7 + 6 Combine like terms: -6 + 6 = 0 0 + -21x = -7 + 6 -21x = -7 + 6 Combine like terms: -7 + 6 = -1 -21x = -1 Divide each side by '-21'. x = 0.04761904762 Simplifying x = 0.04761904762
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