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Simplifying 3x + 5 + -1(5 + -7x) = 19 + -5(3 + -1x) 3x + 5 + (5 * -1 + -7x * -1) = 19 + -5(3 + -1x) 3x + 5 + (-5 + 7x) = 19 + -5(3 + -1x) Reorder the terms: 5 + -5 + 3x + 7x = 19 + -5(3 + -1x) Combine like terms: 5 + -5 = 0 0 + 3x + 7x = 19 + -5(3 + -1x) 3x + 7x = 19 + -5(3 + -1x) Combine like terms: 3x + 7x = 10x 10x = 19 + -5(3 + -1x) 10x = 19 + (3 * -5 + -1x * -5) 10x = 19 + (-15 + 5x) Combine like terms: 19 + -15 = 4 10x = 4 + 5x Solving 10x = 4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10x + -5x = 4 + 5x + -5x Combine like terms: 10x + -5x = 5x 5x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 5x = 4 + 0 5x = 4 Divide each side by '5'. x = 0.8 Simplifying x = 0.8
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