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Simplifying 4x + 10(x + 10) + 24x = 1240 Reorder the terms: 4x + 10(10 + x) + 24x = 1240 4x + (10 * 10 + x * 10) + 24x = 1240 4x + (100 + 10x) + 24x = 1240 Reorder the terms: 100 + 4x + 10x + 24x = 1240 Combine like terms: 4x + 10x = 14x 100 + 14x + 24x = 1240 Combine like terms: 14x + 24x = 38x 100 + 38x = 1240 Solving 100 + 38x = 1240 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 38x = 1240 + -100 Combine like terms: 100 + -100 = 0 0 + 38x = 1240 + -100 38x = 1240 + -100 Combine like terms: 1240 + -100 = 1140 38x = 1140 Divide each side by '38'. x = 30 Simplifying x = 30
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