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Simplifying 6(4x + -6) = 6(-8x + -2) Reorder the terms: 6(-6 + 4x) = 6(-8x + -2) (-6 * 6 + 4x * 6) = 6(-8x + -2) (-36 + 24x) = 6(-8x + -2) Reorder the terms: -36 + 24x = 6(-2 + -8x) -36 + 24x = (-2 * 6 + -8x * 6) -36 + 24x = (-12 + -48x) Solving -36 + 24x = -12 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. -36 + 24x + 48x = -12 + -48x + 48x Combine like terms: 24x + 48x = 72x -36 + 72x = -12 + -48x + 48x Combine like terms: -48x + 48x = 0 -36 + 72x = -12 + 0 -36 + 72x = -12 Add '36' to each side of the equation. -36 + 36 + 72x = -12 + 36 Combine like terms: -36 + 36 = 0 0 + 72x = -12 + 36 72x = -12 + 36 Combine like terms: -12 + 36 = 24 72x = 24 Divide each side by '72'. x = 0.3333333333 Simplifying x = 0.3333333333
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