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Simplifying 6(7 + -6x) = -20 + -5x (7 * 6 + -6x * 6) = -20 + -5x (42 + -36x) = -20 + -5x Solving 42 + -36x = -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 + -36x + 5x = -20 + -5x + 5x Combine like terms: -36x + 5x = -31x 42 + -31x = -20 + -5x + 5x Combine like terms: -5x + 5x = 0 42 + -31x = -20 + 0 42 + -31x = -20 Add '-42' to each side of the equation. 42 + -42 + -31x = -20 + -42 Combine like terms: 42 + -42 = 0 0 + -31x = -20 + -42 -31x = -20 + -42 Combine like terms: -20 + -42 = -62 -31x = -62 Divide each side by '-31'. x = 2 Simplifying x = 2
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