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Simplifying -5x + -3(-4x + 1) = 5 + -5(-4x + 3) Reorder the terms: -5x + -3(1 + -4x) = 5 + -5(-4x + 3) -5x + (1 * -3 + -4x * -3) = 5 + -5(-4x + 3) -5x + (-3 + 12x) = 5 + -5(-4x + 3) Reorder the terms: -3 + -5x + 12x = 5 + -5(-4x + 3) Combine like terms: -5x + 12x = 7x -3 + 7x = 5 + -5(-4x + 3) Reorder the terms: -3 + 7x = 5 + -5(3 + -4x) -3 + 7x = 5 + (3 * -5 + -4x * -5) -3 + 7x = 5 + (-15 + 20x) Combine like terms: 5 + -15 = -10 -3 + 7x = -10 + 20x Solving -3 + 7x = -10 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -3 + 7x + -20x = -10 + 20x + -20x Combine like terms: 7x + -20x = -13x -3 + -13x = -10 + 20x + -20x Combine like terms: 20x + -20x = 0 -3 + -13x = -10 + 0 -3 + -13x = -10 Add '3' to each side of the equation. -3 + 3 + -13x = -10 + 3 Combine like terms: -3 + 3 = 0 0 + -13x = -10 + 3 -13x = -10 + 3 Combine like terms: -10 + 3 = -7 -13x = -7 Divide each side by '-13'. x = 0.5384615385 Simplifying x = 0.5384615385
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