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Simplifying 6(7 + 5x) = -6 + 6x (7 * 6 + 5x * 6) = -6 + 6x (42 + 30x) = -6 + 6x Solving 42 + 30x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 42 + 30x + -6x = -6 + 6x + -6x Combine like terms: 30x + -6x = 24x 42 + 24x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 42 + 24x = -6 + 0 42 + 24x = -6 Add '-42' to each side of the equation. 42 + -42 + 24x = -6 + -42 Combine like terms: 42 + -42 = 0 0 + 24x = -6 + -42 24x = -6 + -42 Combine like terms: -6 + -42 = -48 24x = -48 Divide each side by '24'. x = -2 Simplifying x = -2
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