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Simplifying 6(2x + -7) = 8x Reorder the terms: 6(-7 + 2x) = 8x (-7 * 6 + 2x * 6) = 8x (-42 + 12x) = 8x Solving -42 + 12x = 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 + 12x + -8x = 8x + -8x Combine like terms: 12x + -8x = 4x -42 + 4x = 8x + -8x Combine like terms: 8x + -8x = 0 -42 + 4x = 0 Add '42' to each side of the equation. -42 + 42 + 4x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 4x = 0 + 42 4x = 0 + 42 Combine like terms: 0 + 42 = 42 4x = 42 Divide each side by '4'. x = 10.5 Simplifying x = 10.5
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