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Simplifying (3x + -6) + -1(5x + 8) = 4x + -20 Reorder the terms: (-6 + 3x) + -1(5x + 8) = 4x + -20 Remove parenthesis around (-6 + 3x) -6 + 3x + -1(5x + 8) = 4x + -20 Reorder the terms: -6 + 3x + -1(8 + 5x) = 4x + -20 -6 + 3x + (8 * -1 + 5x * -1) = 4x + -20 -6 + 3x + (-8 + -5x) = 4x + -20 Reorder the terms: -6 + -8 + 3x + -5x = 4x + -20 Combine like terms: -6 + -8 = -14 -14 + 3x + -5x = 4x + -20 Combine like terms: 3x + -5x = -2x -14 + -2x = 4x + -20 Reorder the terms: -14 + -2x = -20 + 4x Solving -14 + -2x = -20 + 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. -14 + -2x + -4x = -20 + 4x + -4x Combine like terms: -2x + -4x = -6x -14 + -6x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + -6x = -20 + 0 -14 + -6x = -20 Add '14' to each side of the equation. -14 + 14 + -6x = -20 + 14 Combine like terms: -14 + 14 = 0 0 + -6x = -20 + 14 -6x = -20 + 14 Combine like terms: -20 + 14 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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