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Simplifying 8(x + 2.5) = 3(2 + 2x) Reorder the terms: 8(2.5 + x) = 3(2 + 2x) (2.5 * 8 + x * 8) = 3(2 + 2x) (20 + 8x) = 3(2 + 2x) 20 + 8x = (2 * 3 + 2x * 3) 20 + 8x = (6 + 6x) Solving 20 + 8x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 20 + 8x + -6x = 6 + 6x + -6x Combine like terms: 8x + -6x = 2x 20 + 2x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + 2x = 6 + 0 20 + 2x = 6 Add '-20' to each side of the equation. 20 + -20 + 2x = 6 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = 6 + -20 2x = 6 + -20 Combine like terms: 6 + -20 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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