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