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Simplifying 0.25(6x + -8) + 6 = 12 + -5x Reorder the terms: 0.25(-8 + 6x) + 6 = 12 + -5x (-8 * 0.25 + 6x * 0.25) + 6 = 12 + -5x (-2 + 1.5x) + 6 = 12 + -5x Reorder the terms: -2 + 6 + 1.5x = 12 + -5x Combine like terms: -2 + 6 = 4 4 + 1.5x = 12 + -5x Solving 4 + 1.5x = 12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 4 + 1.5x + 5x = 12 + -5x + 5x Combine like terms: 1.5x + 5x = 6.5x 4 + 6.5x = 12 + -5x + 5x Combine like terms: -5x + 5x = 0 4 + 6.5x = 12 + 0 4 + 6.5x = 12 Add '-4' to each side of the equation. 4 + -4 + 6.5x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 6.5x = 12 + -4 6.5x = 12 + -4 Combine like terms: 12 + -4 = 8 6.5x = 8 Divide each side by '6.5'. x = 1.230769231 Simplifying x = 1.230769231
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