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Simplifying (5 + x) * 2 = 8 + 7x Reorder the terms for easier multiplication: 2(5 + x) = 8 + 7x (5 * 2 + x * 2) = 8 + 7x (10 + 2x) = 8 + 7x Solving 10 + 2x = 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. 10 + 2x + -7x = 8 + 7x + -7x Combine like terms: 2x + -7x = -5x 10 + -5x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -5x = 8 + 0 10 + -5x = 8 Add '-10' to each side of the equation. 10 + -10 + -5x = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = 8 + -10 -5x = 8 + -10 Combine like terms: 8 + -10 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4
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