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Simplifying 5(x + 4) = 100 + x Reorder the terms: 5(4 + x) = 100 + x (4 * 5 + x * 5) = 100 + x (20 + 5x) = 100 + x Solving 20 + 5x = 100 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 20 + 5x + -1x = 100 + x + -1x Combine like terms: 5x + -1x = 4x 20 + 4x = 100 + x + -1x Combine like terms: x + -1x = 0 20 + 4x = 100 + 0 20 + 4x = 100 Add '-20' to each side of the equation. 20 + -20 + 4x = 100 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = 100 + -20 4x = 100 + -20 Combine like terms: 100 + -20 = 80 4x = 80 Divide each side by '4'. x = 20 Simplifying x = 20
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