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Simplifying 8x + -12 = 4(0.5x + -6) Reorder the terms: -12 + 8x = 4(0.5x + -6) Reorder the terms: -12 + 8x = 4(-6 + 0.5x) -12 + 8x = (-6 * 4 + 0.5x * 4) -12 + 8x = (-24 + 2x) Solving -12 + 8x = -24 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 8x + -2x = -24 + 2x + -2x Combine like terms: 8x + -2x = 6x -12 + 6x = -24 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 6x = -24 + 0 -12 + 6x = -24 Add '12' to each side of the equation. -12 + 12 + 6x = -24 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = -24 + 12 6x = -24 + 12 Combine like terms: -24 + 12 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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