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