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Simplifying 8x + -12 = 2(0.5x + -6) Reorder the terms: -12 + 8x = 2(0.5x + -6) Reorder the terms: -12 + 8x = 2(-6 + 0.5x) -12 + 8x = (-6 * 2 + 0.5x * 2) -12 + 8x = (-12 + 1x) Add '12' to each side of the equation. -12 + 12 + 8x = -12 + 12 + 1x Combine like terms: -12 + 12 = 0 0 + 8x = -12 + 12 + 1x 8x = -12 + 12 + 1x Combine like terms: -12 + 12 = 0 8x = 0 + 1x 8x = 1x Solving 8x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 8x + -1x = 1x + -1x Combine like terms: 8x + -1x = 7x 7x = 1x + -1x Combine like terms: 1x + -1x = 0 7x = 0 Divide each side by '7'. x = 0 Simplifying x = 0
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