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Simplifying 8(2x + 0.25) = 5(3 + -4x) Reorder the terms: 8(0.25 + 2x) = 5(3 + -4x) (0.25 * 8 + 2x * 8) = 5(3 + -4x) (2 + 16x) = 5(3 + -4x) 2 + 16x = (3 * 5 + -4x * 5) 2 + 16x = (15 + -20x) Solving 2 + 16x = 15 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 2 + 16x + 20x = 15 + -20x + 20x Combine like terms: 16x + 20x = 36x 2 + 36x = 15 + -20x + 20x Combine like terms: -20x + 20x = 0 2 + 36x = 15 + 0 2 + 36x = 15 Add '-2' to each side of the equation. 2 + -2 + 36x = 15 + -2 Combine like terms: 2 + -2 = 0 0 + 36x = 15 + -2 36x = 15 + -2 Combine like terms: 15 + -2 = 13 36x = 13 Divide each side by '36'. x = 0.3611111111 Simplifying x = 0.3611111111
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