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Simplifying 6(5x + -7) = 8x + 2 Reorder the terms: 6(-7 + 5x) = 8x + 2 (-7 * 6 + 5x * 6) = 8x + 2 (-42 + 30x) = 8x + 2 Reorder the terms: -42 + 30x = 2 + 8x Solving -42 + 30x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -42 + 30x + -8x = 2 + 8x + -8x Combine like terms: 30x + -8x = 22x -42 + 22x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 -42 + 22x = 2 + 0 -42 + 22x = 2 Add '42' to each side of the equation. -42 + 42 + 22x = 2 + 42 Combine like terms: -42 + 42 = 0 0 + 22x = 2 + 42 22x = 2 + 42 Combine like terms: 2 + 42 = 44 22x = 44 Divide each side by '22'. x = 2 Simplifying x = 2
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