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