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Simplifying -19 = -3(-5x + 8) + -5(-5 + 7x) Reorder the terms: -19 = -3(8 + -5x) + -5(-5 + 7x) -19 = (8 * -3 + -5x * -3) + -5(-5 + 7x) -19 = (-24 + 15x) + -5(-5 + 7x) -19 = -24 + 15x + (-5 * -5 + 7x * -5) -19 = -24 + 15x + (25 + -35x) Reorder the terms: -19 = -24 + 25 + 15x + -35x Combine like terms: -24 + 25 = 1 -19 = 1 + 15x + -35x Combine like terms: 15x + -35x = -20x -19 = 1 + -20x Solving -19 = 1 + -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. -19 + 20x = 1 + -20x + 20x Combine like terms: -20x + 20x = 0 -19 + 20x = 1 + 0 -19 + 20x = 1 Add '19' to each side of the equation. -19 + 19 + 20x = 1 + 19 Combine like terms: -19 + 19 = 0 0 + 20x = 1 + 19 20x = 1 + 19 Combine like terms: 1 + 19 = 20 20x = 20 Divide each side by '20'. x = 1 Simplifying x = 1
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