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Simplifying -6(1 + -5x) = 40 + 7x (1 * -6 + -5x * -6) = 40 + 7x (-6 + 30x) = 40 + 7x Solving -6 + 30x = 40 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + 30x + -7x = 40 + 7x + -7x Combine like terms: 30x + -7x = 23x -6 + 23x = 40 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + 23x = 40 + 0 -6 + 23x = 40 Add '6' to each side of the equation. -6 + 6 + 23x = 40 + 6 Combine like terms: -6 + 6 = 0 0 + 23x = 40 + 6 23x = 40 + 6 Combine like terms: 40 + 6 = 46 23x = 46 Divide each side by '23'. x = 2 Simplifying x = 2
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