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Simplifying 7x + -2(4 + -3x) = 5 + 2(3x + -1) 7x + (4 * -2 + -3x * -2) = 5 + 2(3x + -1) 7x + (-8 + 6x) = 5 + 2(3x + -1) Reorder the terms: -8 + 7x + 6x = 5 + 2(3x + -1) Combine like terms: 7x + 6x = 13x -8 + 13x = 5 + 2(3x + -1) Reorder the terms: -8 + 13x = 5 + 2(-1 + 3x) -8 + 13x = 5 + (-1 * 2 + 3x * 2) -8 + 13x = 5 + (-2 + 6x) Combine like terms: 5 + -2 = 3 -8 + 13x = 3 + 6x Solving -8 + 13x = 3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 13x + -6x = 3 + 6x + -6x Combine like terms: 13x + -6x = 7x -8 + 7x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 7x = 3 + 0 -8 + 7x = 3 Add '8' to each side of the equation. -8 + 8 + 7x = 3 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = 3 + 8 7x = 3 + 8 Combine like terms: 3 + 8 = 11 7x = 11 Divide each side by '7'. x = 1.571428571 Simplifying x = 1.571428571
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