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Simplifying 6(4x + -6) = 6(-9x + -3) Reorder the terms: 6(-6 + 4x) = 6(-9x + -3) (-6 * 6 + 4x * 6) = 6(-9x + -3) (-36 + 24x) = 6(-9x + -3) Reorder the terms: -36 + 24x = 6(-3 + -9x) -36 + 24x = (-3 * 6 + -9x * 6) -36 + 24x = (-18 + -54x) Solving -36 + 24x = -18 + -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. -36 + 24x + 54x = -18 + -54x + 54x Combine like terms: 24x + 54x = 78x -36 + 78x = -18 + -54x + 54x Combine like terms: -54x + 54x = 0 -36 + 78x = -18 + 0 -36 + 78x = -18 Add '36' to each side of the equation. -36 + 36 + 78x = -18 + 36 Combine like terms: -36 + 36 = 0 0 + 78x = -18 + 36 78x = -18 + 36 Combine like terms: -18 + 36 = 18 78x = 18 Divide each side by '78'. x = 0.2307692308 Simplifying x = 0.2307692308
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