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Simplifying 4x + -1(8 + x) = -2 + x + -1(-3x + -5) 4x + (8 * -1 + x * -1) = -2 + x + -1(-3x + -5) 4x + (-8 + -1x) = -2 + x + -1(-3x + -5) Reorder the terms: -8 + 4x + -1x = -2 + x + -1(-3x + -5) Combine like terms: 4x + -1x = 3x -8 + 3x = -2 + x + -1(-3x + -5) Reorder the terms: -8 + 3x = -2 + x + -1(-5 + -3x) -8 + 3x = -2 + x + (-5 * -1 + -3x * -1) -8 + 3x = -2 + x + (5 + 3x) Reorder the terms: -8 + 3x = -2 + 5 + x + 3x Combine like terms: -2 + 5 = 3 -8 + 3x = 3 + x + 3x Combine like terms: x + 3x = 4x -8 + 3x = 3 + 4x Solving -8 + 3x = 3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 3x + -4x = 3 + 4x + -4x Combine like terms: 3x + -4x = -1x -8 + -1x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -1x = 3 + 0 -8 + -1x = 3 Add '8' to each side of the equation. -8 + 8 + -1x = 3 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 3 + 8 -1x = 3 + 8 Combine like terms: 3 + 8 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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