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Simplifying 7(3x + -5) = 6 + -9x Reorder the terms: 7(-5 + 3x) = 6 + -9x (-5 * 7 + 3x * 7) = 6 + -9x (-35 + 21x) = 6 + -9x Solving -35 + 21x = 6 + -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. -35 + 21x + 9x = 6 + -9x + 9x Combine like terms: 21x + 9x = 30x -35 + 30x = 6 + -9x + 9x Combine like terms: -9x + 9x = 0 -35 + 30x = 6 + 0 -35 + 30x = 6 Add '35' to each side of the equation. -35 + 35 + 30x = 6 + 35 Combine like terms: -35 + 35 = 0 0 + 30x = 6 + 35 30x = 6 + 35 Combine like terms: 6 + 35 = 41 30x = 41 Divide each side by '30'. x = 1.366666667 Simplifying x = 1.366666667
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