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Simplifying 2.5(8 + 2x) = 8 + 7x (8 * 2.5 + 2x * 2.5) = 8 + 7x (20 + 5x) = 8 + 7x Solving 20 + 5x = 8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 20 + 5x + -7x = 8 + 7x + -7x Combine like terms: 5x + -7x = -2x 20 + -2x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 20 + -2x = 8 + 0 20 + -2x = 8 Add '-20' to each side of the equation. 20 + -20 + -2x = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -2x = 8 + -20 -2x = 8 + -20 Combine like terms: 8 + -20 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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