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Simplifying -6(9 + -7x) = 10(6x + 9) (9 * -6 + -7x * -6) = 10(6x + 9) (-54 + 42x) = 10(6x + 9) Reorder the terms: -54 + 42x = 10(9 + 6x) -54 + 42x = (9 * 10 + 6x * 10) -54 + 42x = (90 + 60x) Solving -54 + 42x = 90 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. -54 + 42x + -60x = 90 + 60x + -60x Combine like terms: 42x + -60x = -18x -54 + -18x = 90 + 60x + -60x Combine like terms: 60x + -60x = 0 -54 + -18x = 90 + 0 -54 + -18x = 90 Add '54' to each side of the equation. -54 + 54 + -18x = 90 + 54 Combine like terms: -54 + 54 = 0 0 + -18x = 90 + 54 -18x = 90 + 54 Combine like terms: 90 + 54 = 144 -18x = 144 Divide each side by '-18'. x = -8 Simplifying x = -8
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