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Simplifying 3x + -1(x + 5) = 6x + (2x + -6) Reorder the terms: 3x + -1(5 + x) = 6x + (2x + -6) 3x + (5 * -1 + x * -1) = 6x + (2x + -6) 3x + (-5 + -1x) = 6x + (2x + -6) Reorder the terms: -5 + 3x + -1x = 6x + (2x + -6) Combine like terms: 3x + -1x = 2x -5 + 2x = 6x + (2x + -6) Reorder the terms: -5 + 2x = 6x + (-6 + 2x) Remove parenthesis around (-6 + 2x) -5 + 2x = 6x + -6 + 2x Reorder the terms: -5 + 2x = -6 + 6x + 2x Combine like terms: 6x + 2x = 8x -5 + 2x = -6 + 8x Solving -5 + 2x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + 2x + -8x = -6 + 8x + -8x Combine like terms: 2x + -8x = -6x -5 + -6x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -6x = -6 + 0 -5 + -6x = -6 Add '5' to each side of the equation. -5 + 5 + -6x = -6 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = -6 + 5 -6x = -6 + 5 Combine like terms: -6 + 5 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667
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