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Simplifying -6(6x + 10) = -4(6 + 6x) Reorder the terms: -6(10 + 6x) = -4(6 + 6x) (10 * -6 + 6x * -6) = -4(6 + 6x) (-60 + -36x) = -4(6 + 6x) -60 + -36x = (6 * -4 + 6x * -4) -60 + -36x = (-24 + -24x) Solving -60 + -36x = -24 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -60 + -36x + 24x = -24 + -24x + 24x Combine like terms: -36x + 24x = -12x -60 + -12x = -24 + -24x + 24x Combine like terms: -24x + 24x = 0 -60 + -12x = -24 + 0 -60 + -12x = -24 Add '60' to each side of the equation. -60 + 60 + -12x = -24 + 60 Combine like terms: -60 + 60 = 0 0 + -12x = -24 + 60 -12x = -24 + 60 Combine like terms: -24 + 60 = 36 -12x = 36 Divide each side by '-12'. x = -3 Simplifying x = -3
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