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Simplifying -3(-7x + 9) + -4x = 3(x + -5) + -5 Reorder the terms: -3(9 + -7x) + -4x = 3(x + -5) + -5 (9 * -3 + -7x * -3) + -4x = 3(x + -5) + -5 (-27 + 21x) + -4x = 3(x + -5) + -5 Combine like terms: 21x + -4x = 17x -27 + 17x = 3(x + -5) + -5 Reorder the terms: -27 + 17x = 3(-5 + x) + -5 -27 + 17x = (-5 * 3 + x * 3) + -5 -27 + 17x = (-15 + 3x) + -5 Reorder the terms: -27 + 17x = -15 + -5 + 3x Combine like terms: -15 + -5 = -20 -27 + 17x = -20 + 3x Solving -27 + 17x = -20 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -27 + 17x + -3x = -20 + 3x + -3x Combine like terms: 17x + -3x = 14x -27 + 14x = -20 + 3x + -3x Combine like terms: 3x + -3x = 0 -27 + 14x = -20 + 0 -27 + 14x = -20 Add '27' to each side of the equation. -27 + 27 + 14x = -20 + 27 Combine like terms: -27 + 27 = 0 0 + 14x = -20 + 27 14x = -20 + 27 Combine like terms: -20 + 27 = 7 14x = 7 Divide each side by '14'. x = 0.5 Simplifying x = 0.5
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