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