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Simplifying -5(-6x + 4) + -9x = 7(x + -5) + -1 Reorder the terms: -5(4 + -6x) + -9x = 7(x + -5) + -1 (4 * -5 + -6x * -5) + -9x = 7(x + -5) + -1 (-20 + 30x) + -9x = 7(x + -5) + -1 Combine like terms: 30x + -9x = 21x -20 + 21x = 7(x + -5) + -1 Reorder the terms: -20 + 21x = 7(-5 + x) + -1 -20 + 21x = (-5 * 7 + x * 7) + -1 -20 + 21x = (-35 + 7x) + -1 Reorder the terms: -20 + 21x = -35 + -1 + 7x Combine like terms: -35 + -1 = -36 -20 + 21x = -36 + 7x Solving -20 + 21x = -36 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -20 + 21x + -7x = -36 + 7x + -7x Combine like terms: 21x + -7x = 14x -20 + 14x = -36 + 7x + -7x Combine like terms: 7x + -7x = 0 -20 + 14x = -36 + 0 -20 + 14x = -36 Add '20' to each side of the equation. -20 + 20 + 14x = -36 + 20 Combine like terms: -20 + 20 = 0 0 + 14x = -36 + 20 14x = -36 + 20 Combine like terms: -36 + 20 = -16 14x = -16 Divide each side by '14'. x = -1.142857143 Simplifying x = -1.142857143
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