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Simplifying 212 = 7 + 5(1 + 8x) 212 = 7 + (1 * 5 + 8x * 5) 212 = 7 + (5 + 40x) Combine like terms: 7 + 5 = 12 212 = 12 + 40x Solving 212 = 12 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 212 + -40x = 12 + 40x + -40x Combine like terms: 40x + -40x = 0 212 + -40x = 12 + 0 212 + -40x = 12 Add '-212' to each side of the equation. 212 + -212 + -40x = 12 + -212 Combine like terms: 212 + -212 = 0 0 + -40x = 12 + -212 -40x = 12 + -212 Combine like terms: 12 + -212 = -200 -40x = -200 Divide each side by '-40'. x = 5 Simplifying x = 5
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