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Simplifying -5(-3 + -4x) = -1(x + -6) (-3 * -5 + -4x * -5) = -1(x + -6) (15 + 20x) = -1(x + -6) Reorder the terms: 15 + 20x = -1(-6 + x) 15 + 20x = (-6 * -1 + x * -1) 15 + 20x = (6 + -1x) Solving 15 + 20x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 15 + 20x + x = 6 + -1x + x Combine like terms: 20x + x = 21x 15 + 21x = 6 + -1x + x Combine like terms: -1x + x = 0 15 + 21x = 6 + 0 15 + 21x = 6 Add '-15' to each side of the equation. 15 + -15 + 21x = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 21x = 6 + -15 21x = 6 + -15 Combine like terms: 6 + -15 = -9 21x = -9 Divide each side by '21'. x = -0.4285714286 Simplifying x = -0.4285714286
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