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Simplifying 6(5x + -7) = 6 + 7x Reorder the terms: 6(-7 + 5x) = 6 + 7x (-7 * 6 + 5x * 6) = 6 + 7x (-42 + 30x) = 6 + 7x Solving -42 + 30x = 6 + 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. -42 + 30x + -7x = 6 + 7x + -7x Combine like terms: 30x + -7x = 23x -42 + 23x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 -42 + 23x = 6 + 0 -42 + 23x = 6 Add '42' to each side of the equation. -42 + 42 + 23x = 6 + 42 Combine like terms: -42 + 42 = 0 0 + 23x = 6 + 42 23x = 6 + 42 Combine like terms: 6 + 42 = 48 23x = 48 Divide each side by '23'. x = 2.086956522 Simplifying x = 2.086956522
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