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Simplifying -8(x + 3) = 0.5(-6x + -18) Reorder the terms: -8(3 + x) = 0.5(-6x + -18) (3 * -8 + x * -8) = 0.5(-6x + -18) (-24 + -8x) = 0.5(-6x + -18) Reorder the terms: -24 + -8x = 0.5(-18 + -6x) -24 + -8x = (-18 * 0.5 + -6x * 0.5) -24 + -8x = (-9 + -3x) Solving -24 + -8x = -9 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -24 + -8x + 3x = -9 + -3x + 3x Combine like terms: -8x + 3x = -5x -24 + -5x = -9 + -3x + 3x Combine like terms: -3x + 3x = 0 -24 + -5x = -9 + 0 -24 + -5x = -9 Add '24' to each side of the equation. -24 + 24 + -5x = -9 + 24 Combine like terms: -24 + 24 = 0 0 + -5x = -9 + 24 -5x = -9 + 24 Combine like terms: -9 + 24 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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