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Simplifying 7x + 214 = 8(2 + 5x) Reorder the terms: 214 + 7x = 8(2 + 5x) 214 + 7x = (2 * 8 + 5x * 8) 214 + 7x = (16 + 40x) Solving 214 + 7x = 16 + 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. 214 + 7x + -40x = 16 + 40x + -40x Combine like terms: 7x + -40x = -33x 214 + -33x = 16 + 40x + -40x Combine like terms: 40x + -40x = 0 214 + -33x = 16 + 0 214 + -33x = 16 Add '-214' to each side of the equation. 214 + -214 + -33x = 16 + -214 Combine like terms: 214 + -214 = 0 0 + -33x = 16 + -214 -33x = 16 + -214 Combine like terms: 16 + -214 = -198 -33x = -198 Divide each side by '-33'. x = 6 Simplifying x = 6
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