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Simplifying 7x + -1(4 + -3x) = 5 + (3x + -1) 7x + (4 * -1 + -3x * -1) = 5 + (3x + -1) 7x + (-4 + 3x) = 5 + (3x + -1) Reorder the terms: -4 + 7x + 3x = 5 + (3x + -1) Combine like terms: 7x + 3x = 10x -4 + 10x = 5 + (3x + -1) Reorder the terms: -4 + 10x = 5 + (-1 + 3x) Remove parenthesis around (-1 + 3x) -4 + 10x = 5 + -1 + 3x Combine like terms: 5 + -1 = 4 -4 + 10x = 4 + 3x Solving -4 + 10x = 4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 10x + -3x = 4 + 3x + -3x Combine like terms: 10x + -3x = 7x -4 + 7x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 7x = 4 + 0 -4 + 7x = 4 Add '4' to each side of the equation. -4 + 4 + 7x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 4 + 4 7x = 4 + 4 Combine like terms: 4 + 4 = 8 7x = 8 Divide each side by '7'. x = 1.142857143 Simplifying x = 1.142857143
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