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Simplifying -6(-5 + -4x) = -5(12 + -3x) (-5 * -6 + -4x * -6) = -5(12 + -3x) (30 + 24x) = -5(12 + -3x) 30 + 24x = (12 * -5 + -3x * -5) 30 + 24x = (-60 + 15x) Solving 30 + 24x = -60 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 30 + 24x + -15x = -60 + 15x + -15x Combine like terms: 24x + -15x = 9x 30 + 9x = -60 + 15x + -15x Combine like terms: 15x + -15x = 0 30 + 9x = -60 + 0 30 + 9x = -60 Add '-30' to each side of the equation. 30 + -30 + 9x = -60 + -30 Combine like terms: 30 + -30 = 0 0 + 9x = -60 + -30 9x = -60 + -30 Combine like terms: -60 + -30 = -90 9x = -90 Divide each side by '9'. x = -10 Simplifying x = -10
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