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Simplifying 6(1 + 5x) = 7x + -40 (1 * 6 + 5x * 6) = 7x + -40 (6 + 30x) = 7x + -40 Reorder the terms: 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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