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Simplifying 3x + -1(2 + 5x + -6) = 6 + (-5x + 4 + -5) + 2 Reorder the terms: 3x + -1(2 + -6 + 5x) = 6 + (-5x + 4 + -5) + 2 Combine like terms: 2 + -6 = -4 3x + -1(-4 + 5x) = 6 + (-5x + 4 + -5) + 2 3x + (-4 * -1 + 5x * -1) = 6 + (-5x + 4 + -5) + 2 3x + (4 + -5x) = 6 + (-5x + 4 + -5) + 2 Reorder the terms: 4 + 3x + -5x = 6 + (-5x + 4 + -5) + 2 Combine like terms: 3x + -5x = -2x 4 + -2x = 6 + (-5x + 4 + -5) + 2 Reorder the terms: 4 + -2x = 6 + (4 + -5 + -5x) + 2 Combine like terms: 4 + -5 = -1 4 + -2x = 6 + (-1 + -5x) + 2 Remove parenthesis around (-1 + -5x) 4 + -2x = 6 + -1 + -5x + 2 Reorder the terms: 4 + -2x = 6 + -1 + 2 + -5x Combine like terms: 6 + -1 = 5 4 + -2x = 5 + 2 + -5x Combine like terms: 5 + 2 = 7 4 + -2x = 7 + -5x Solving 4 + -2x = 7 + -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. 4 + -2x + 5x = 7 + -5x + 5x Combine like terms: -2x + 5x = 3x 4 + 3x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 4 + 3x = 7 + 0 4 + 3x = 7 Add '-4' to each side of the equation. 4 + -4 + 3x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 7 + -4 3x = 7 + -4 Combine like terms: 7 + -4 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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