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Simplifying 24(x + 2) = 100 + 20x Reorder the terms: 24(2 + x) = 100 + 20x (2 * 24 + x * 24) = 100 + 20x (48 + 24x) = 100 + 20x Solving 48 + 24x = 100 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 48 + 24x + -20x = 100 + 20x + -20x Combine like terms: 24x + -20x = 4x 48 + 4x = 100 + 20x + -20x Combine like terms: 20x + -20x = 0 48 + 4x = 100 + 0 48 + 4x = 100 Add '-48' to each side of the equation. 48 + -48 + 4x = 100 + -48 Combine like terms: 48 + -48 = 0 0 + 4x = 100 + -48 4x = 100 + -48 Combine like terms: 100 + -48 = 52 4x = 52 Divide each side by '4'. x = 13 Simplifying x = 13
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