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Simplifying -3(1 + -4x) + -1(5x + -4) = -20 + -3(2x + -7) (1 * -3 + -4x * -3) + -1(5x + -4) = -20 + -3(2x + -7) (-3 + 12x) + -1(5x + -4) = -20 + -3(2x + -7) Reorder the terms: -3 + 12x + -1(-4 + 5x) = -20 + -3(2x + -7) -3 + 12x + (-4 * -1 + 5x * -1) = -20 + -3(2x + -7) -3 + 12x + (4 + -5x) = -20 + -3(2x + -7) Reorder the terms: -3 + 4 + 12x + -5x = -20 + -3(2x + -7) Combine like terms: -3 + 4 = 1 1 + 12x + -5x = -20 + -3(2x + -7) Combine like terms: 12x + -5x = 7x 1 + 7x = -20 + -3(2x + -7) Reorder the terms: 1 + 7x = -20 + -3(-7 + 2x) 1 + 7x = -20 + (-7 * -3 + 2x * -3) 1 + 7x = -20 + (21 + -6x) Combine like terms: -20 + 21 = 1 1 + 7x = 1 + -6x Add '-1' to each side of the equation. 1 + -1 + 7x = 1 + -1 + -6x Combine like terms: 1 + -1 = 0 0 + 7x = 1 + -1 + -6x 7x = 1 + -1 + -6x Combine like terms: 1 + -1 = 0 7x = 0 + -6x 7x = -6x Solving 7x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 7x + 6x = -6x + 6x Combine like terms: 7x + 6x = 13x 13x = -6x + 6x Combine like terms: -6x + 6x = 0 13x = 0 Divide each side by '13'. x = 0 Simplifying x = 0
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