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Simplifying -4(6 + 6x) = -3(x + -8) + -5x (6 * -4 + 6x * -4) = -3(x + -8) + -5x (-24 + -24x) = -3(x + -8) + -5x Reorder the terms: -24 + -24x = -3(-8 + x) + -5x -24 + -24x = (-8 * -3 + x * -3) + -5x -24 + -24x = (24 + -3x) + -5x Combine like terms: -3x + -5x = -8x -24 + -24x = 24 + -8x Solving -24 + -24x = 24 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -24 + -24x + 8x = 24 + -8x + 8x Combine like terms: -24x + 8x = -16x -24 + -16x = 24 + -8x + 8x Combine like terms: -8x + 8x = 0 -24 + -16x = 24 + 0 -24 + -16x = 24 Add '24' to each side of the equation. -24 + 24 + -16x = 24 + 24 Combine like terms: -24 + 24 = 0 0 + -16x = 24 + 24 -16x = 24 + 24 Combine like terms: 24 + 24 = 48 -16x = 48 Divide each side by '-16'. x = -3 Simplifying x = -3
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