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Simplifying 3x + -1(7 + -4x) = 2(2x + 5) + -6 3x + (7 * -1 + -4x * -1) = 2(2x + 5) + -6 3x + (-7 + 4x) = 2(2x + 5) + -6 Reorder the terms: -7 + 3x + 4x = 2(2x + 5) + -6 Combine like terms: 3x + 4x = 7x -7 + 7x = 2(2x + 5) + -6 Reorder the terms: -7 + 7x = 2(5 + 2x) + -6 -7 + 7x = (5 * 2 + 2x * 2) + -6 -7 + 7x = (10 + 4x) + -6 Reorder the terms: -7 + 7x = 10 + -6 + 4x Combine like terms: 10 + -6 = 4 -7 + 7x = 4 + 4x Solving -7 + 7x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + 7x + -4x = 4 + 4x + -4x Combine like terms: 7x + -4x = 3x -7 + 3x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 3x = 4 + 0 -7 + 3x = 4 Add '7' to each side of the equation. -7 + 7 + 3x = 4 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 4 + 7 3x = 4 + 7 Combine like terms: 4 + 7 = 11 3x = 11 Divide each side by '3'. x = 3.666666667 Simplifying x = 3.666666667
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