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Simplifying 3 + -1(2x + 8) = -1(3x + -2) Reorder the terms: 3 + -1(8 + 2x) = -1(3x + -2) 3 + (8 * -1 + 2x * -1) = -1(3x + -2) 3 + (-8 + -2x) = -1(3x + -2) Combine like terms: 3 + -8 = -5 -5 + -2x = -1(3x + -2) Reorder the terms: -5 + -2x = -1(-2 + 3x) -5 + -2x = (-2 * -1 + 3x * -1) -5 + -2x = (2 + -3x) Solving -5 + -2x = 2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -5 + -2x + 3x = 2 + -3x + 3x Combine like terms: -2x + 3x = 1x -5 + 1x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + 1x = 2 + 0 -5 + 1x = 2 Add '5' to each side of the equation. -5 + 5 + 1x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 2 + 5 1x = 2 + 5 Combine like terms: 2 + 5 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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