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Simplifying -6(2x + 7) = -20 + 5x Reorder the terms: -6(7 + 2x) = -20 + 5x (7 * -6 + 2x * -6) = -20 + 5x (-42 + -12x) = -20 + 5x Solving -42 + -12x = -20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -42 + -12x + -5x = -20 + 5x + -5x Combine like terms: -12x + -5x = -17x -42 + -17x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 -42 + -17x = -20 + 0 -42 + -17x = -20 Add '42' to each side of the equation. -42 + 42 + -17x = -20 + 42 Combine like terms: -42 + 42 = 0 0 + -17x = -20 + 42 -17x = -20 + 42 Combine like terms: -20 + 42 = 22 -17x = 22 Divide each side by '-17'. x = -1.294117647 Simplifying x = -1.294117647
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