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Simplifying 0.5(12x + -4) + 6 = 14 + -10x Reorder the terms: 0.5(-4 + 12x) + 6 = 14 + -10x (-4 * 0.5 + 12x * 0.5) + 6 = 14 + -10x (-2 + 6x) + 6 = 14 + -10x Reorder the terms: -2 + 6 + 6x = 14 + -10x Combine like terms: -2 + 6 = 4 4 + 6x = 14 + -10x Solving 4 + 6x = 14 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 4 + 6x + 10x = 14 + -10x + 10x Combine like terms: 6x + 10x = 16x 4 + 16x = 14 + -10x + 10x Combine like terms: -10x + 10x = 0 4 + 16x = 14 + 0 4 + 16x = 14 Add '-4' to each side of the equation. 4 + -4 + 16x = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 16x = 14 + -4 16x = 14 + -4 Combine like terms: 14 + -4 = 10 16x = 10 Divide each side by '16'. x = 0.625 Simplifying x = 0.625
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