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Simplifying 6(x + 7) = -6(-7 + 9x) Reorder the terms: 6(7 + x) = -6(-7 + 9x) (7 * 6 + x * 6) = -6(-7 + 9x) (42 + 6x) = -6(-7 + 9x) 42 + 6x = (-7 * -6 + 9x * -6) 42 + 6x = (42 + -54x) Add '-42' to each side of the equation. 42 + -42 + 6x = 42 + -42 + -54x Combine like terms: 42 + -42 = 0 0 + 6x = 42 + -42 + -54x 6x = 42 + -42 + -54x Combine like terms: 42 + -42 = 0 6x = 0 + -54x 6x = -54x Solving 6x = -54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54x' to each side of the equation. 6x + 54x = -54x + 54x Combine like terms: 6x + 54x = 60x 60x = -54x + 54x Combine like terms: -54x + 54x = 0 60x = 0 Divide each side by '60'. x = 0.0 Simplifying x = 0.0
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