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Simplifying 6(3x + -9) = 60x Reorder the terms: 6(-9 + 3x) = 60x (-9 * 6 + 3x * 6) = 60x (-54 + 18x) = 60x Solving -54 + 18x = 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 + 18x + -60x = 60x + -60x Combine like terms: 18x + -60x = -42x -54 + -42x = 60x + -60x Combine like terms: 60x + -60x = 0 -54 + -42x = 0 Add '54' to each side of the equation. -54 + 54 + -42x = 0 + 54 Combine like terms: -54 + 54 = 0 0 + -42x = 0 + 54 -42x = 0 + 54 Combine like terms: 0 + 54 = 54 -42x = 54 Divide each side by '-42'. x = -1.285714286 Simplifying x = -1.285714286
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