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Simplifying 2x + (3x + -5) = 2 + -1(x + 3) Reorder the terms: 2x + (-5 + 3x) = 2 + -1(x + 3) Remove parenthesis around (-5 + 3x) 2x + -5 + 3x = 2 + -1(x + 3) Reorder the terms: -5 + 2x + 3x = 2 + -1(x + 3) Combine like terms: 2x + 3x = 5x -5 + 5x = 2 + -1(x + 3) Reorder the terms: -5 + 5x = 2 + -1(3 + x) -5 + 5x = 2 + (3 * -1 + x * -1) -5 + 5x = 2 + (-3 + -1x) Combine like terms: 2 + -3 = -1 -5 + 5x = -1 + -1x Solving -5 + 5x = -1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -5 + 5x + x = -1 + -1x + x Combine like terms: 5x + x = 6x -5 + 6x = -1 + -1x + x Combine like terms: -1x + x = 0 -5 + 6x = -1 + 0 -5 + 6x = -1 Add '5' to each side of the equation. -5 + 5 + 6x = -1 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = -1 + 5 6x = -1 + 5 Combine like terms: -1 + 5 = 4 6x = 4 Divide each side by '6'. x = 0.6666666667 Simplifying x = 0.6666666667
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