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Simplifying 2.5(4x + 2) = 12x Reorder the terms: 2.5(2 + 4x) = 12x (2 * 2.5 + 4x * 2.5) = 12x (5 + 10x) = 12x Solving 5 + 10x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 5 + 10x + -12x = 12x + -12x Combine like terms: 10x + -12x = -2x 5 + -2x = 12x + -12x Combine like terms: 12x + -12x = 0 5 + -2x = 0 Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5
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