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Simplifying 5(2x + 17) = 7x + 212 Reorder the terms: 5(17 + 2x) = 7x + 212 (17 * 5 + 2x * 5) = 7x + 212 (85 + 10x) = 7x + 212 Reorder the terms: 85 + 10x = 212 + 7x Solving 85 + 10x = 212 + 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. 85 + 10x + -7x = 212 + 7x + -7x Combine like terms: 10x + -7x = 3x 85 + 3x = 212 + 7x + -7x Combine like terms: 7x + -7x = 0 85 + 3x = 212 + 0 85 + 3x = 212 Add '-85' to each side of the equation. 85 + -85 + 3x = 212 + -85 Combine like terms: 85 + -85 = 0 0 + 3x = 212 + -85 3x = 212 + -85 Combine like terms: 212 + -85 = 127 3x = 127 Divide each side by '3'. x = 42.33333333 Simplifying x = 42.33333333
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