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Simplifying 6(3x + -9) = 6(-7x + -4) Reorder the terms: 6(-9 + 3x) = 6(-7x + -4) (-9 * 6 + 3x * 6) = 6(-7x + -4) (-54 + 18x) = 6(-7x + -4) Reorder the terms: -54 + 18x = 6(-4 + -7x) -54 + 18x = (-4 * 6 + -7x * 6) -54 + 18x = (-24 + -42x) Solving -54 + 18x = -24 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. -54 + 18x + 42x = -24 + -42x + 42x Combine like terms: 18x + 42x = 60x -54 + 60x = -24 + -42x + 42x Combine like terms: -42x + 42x = 0 -54 + 60x = -24 + 0 -54 + 60x = -24 Add '54' to each side of the equation. -54 + 54 + 60x = -24 + 54 Combine like terms: -54 + 54 = 0 0 + 60x = -24 + 54 60x = -24 + 54 Combine like terms: -24 + 54 = 30 60x = 30 Divide each side by '60'. x = 0.5 Simplifying x = 0.5
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