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Simplifying -3(7x + -5) = 9(-4x + -5) Reorder the terms: -3(-5 + 7x) = 9(-4x + -5) (-5 * -3 + 7x * -3) = 9(-4x + -5) (15 + -21x) = 9(-4x + -5) Reorder the terms: 15 + -21x = 9(-5 + -4x) 15 + -21x = (-5 * 9 + -4x * 9) 15 + -21x = (-45 + -36x) Solving 15 + -21x = -45 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 15 + -21x + 36x = -45 + -36x + 36x Combine like terms: -21x + 36x = 15x 15 + 15x = -45 + -36x + 36x Combine like terms: -36x + 36x = 0 15 + 15x = -45 + 0 15 + 15x = -45 Add '-15' to each side of the equation. 15 + -15 + 15x = -45 + -15 Combine like terms: 15 + -15 = 0 0 + 15x = -45 + -15 15x = -45 + -15 Combine like terms: -45 + -15 = -60 15x = -60 Divide each side by '15'. x = -4 Simplifying x = -4
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