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Simplifying -20 + 6x = -8 + -5(3x + -6) Reorder the terms: -20 + 6x = -8 + -5(-6 + 3x) -20 + 6x = -8 + (-6 * -5 + 3x * -5) -20 + 6x = -8 + (30 + -15x) Combine like terms: -8 + 30 = 22 -20 + 6x = 22 + -15x Solving -20 + 6x = 22 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -20 + 6x + 15x = 22 + -15x + 15x Combine like terms: 6x + 15x = 21x -20 + 21x = 22 + -15x + 15x Combine like terms: -15x + 15x = 0 -20 + 21x = 22 + 0 -20 + 21x = 22 Add '20' to each side of the equation. -20 + 20 + 21x = 22 + 20 Combine like terms: -20 + 20 = 0 0 + 21x = 22 + 20 21x = 22 + 20 Combine like terms: 22 + 20 = 42 21x = 42 Divide each side by '21'. x = 2 Simplifying x = 2
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