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Simplifying 6(2x + -7) = 9x Reorder the terms: 6(-7 + 2x) = 9x (-7 * 6 + 2x * 6) = 9x (-42 + 12x) = 9x Solving -42 + 12x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -42 + 12x + -9x = 9x + -9x Combine like terms: 12x + -9x = 3x -42 + 3x = 9x + -9x Combine like terms: 9x + -9x = 0 -42 + 3x = 0 Add '42' to each side of the equation. -42 + 42 + 3x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 3x = 0 + 42 3x = 0 + 42 Combine like terms: 0 + 42 = 42 3x = 42 Divide each side by '3'. x = 14 Simplifying x = 14
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