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Simplifying 3x + 4(x + 6) = 410 Reorder the terms: 3x + 4(6 + x) = 410 3x + (6 * 4 + x * 4) = 410 3x + (24 + 4x) = 410 Reorder the terms: 24 + 3x + 4x = 410 Combine like terms: 3x + 4x = 7x 24 + 7x = 410 Solving 24 + 7x = 410 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 7x = 410 + -24 Combine like terms: 24 + -24 = 0 0 + 7x = 410 + -24 7x = 410 + -24 Combine like terms: 410 + -24 = 386 7x = 386 Divide each side by '7'. x = 55.14285714 Simplifying x = 55.14285714
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