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Simplifying 1 + -1(3x + 5) = 1x + -1(2x + 8) Reorder the terms: 1 + -1(5 + 3x) = 1x + -1(2x + 8) 1 + (5 * -1 + 3x * -1) = 1x + -1(2x + 8) 1 + (-5 + -3x) = 1x + -1(2x + 8) Combine like terms: 1 + -5 = -4 -4 + -3x = 1x + -1(2x + 8) Reorder the terms: -4 + -3x = 1x + -1(8 + 2x) -4 + -3x = 1x + (8 * -1 + 2x * -1) -4 + -3x = 1x + (-8 + -2x) Reorder the terms: -4 + -3x = -8 + 1x + -2x Combine like terms: 1x + -2x = -1x -4 + -3x = -8 + -1x Solving -4 + -3x = -8 + -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. -4 + -3x + x = -8 + -1x + x Combine like terms: -3x + x = -2x -4 + -2x = -8 + -1x + x Combine like terms: -1x + x = 0 -4 + -2x = -8 + 0 -4 + -2x = -8 Add '4' to each side of the equation. -4 + 4 + -2x = -8 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -8 + 4 -2x = -8 + 4 Combine like terms: -8 + 4 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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