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Simplifying 3x + 4(x + 17) = 117 Reorder the terms: 3x + 4(17 + x) = 117 3x + (17 * 4 + x * 4) = 117 3x + (68 + 4x) = 117 Reorder the terms: 68 + 3x + 4x = 117 Combine like terms: 3x + 4x = 7x 68 + 7x = 117 Solving 68 + 7x = 117 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-68' to each side of the equation. 68 + -68 + 7x = 117 + -68 Combine like terms: 68 + -68 = 0 0 + 7x = 117 + -68 7x = 117 + -68 Combine like terms: 117 + -68 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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