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Simplifying 12x + -4 + 6x + 8 = 2x + 10 Reorder the terms: -4 + 8 + 12x + 6x = 2x + 10 Combine like terms: -4 + 8 = 4 4 + 12x + 6x = 2x + 10 Combine like terms: 12x + 6x = 18x 4 + 18x = 2x + 10 Reorder the terms: 4 + 18x = 10 + 2x Solving 4 + 18x = 10 + 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. 4 + 18x + -2x = 10 + 2x + -2x Combine like terms: 18x + -2x = 16x 4 + 16x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 16x = 10 + 0 4 + 16x = 10 Add '-4' to each side of the equation. 4 + -4 + 16x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 16x = 10 + -4 16x = 10 + -4 Combine like terms: 10 + -4 = 6 16x = 6 Divide each side by '16'. x = 0.375 Simplifying x = 0.375
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