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Simplifying 100 = 3x + 5(x + 4) Reorder the terms: 100 = 3x + 5(4 + x) 100 = 3x + (4 * 5 + x * 5) 100 = 3x + (20 + 5x) Reorder the terms: 100 = 20 + 3x + 5x Combine like terms: 3x + 5x = 8x 100 = 20 + 8x Solving 100 = 20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 100 + -8x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 100 + -8x = 20 + 0 100 + -8x = 20 Add '-100' to each side of the equation. 100 + -100 + -8x = 20 + -100 Combine like terms: 100 + -100 = 0 0 + -8x = 20 + -100 -8x = 20 + -100 Combine like terms: 20 + -100 = -80 -8x = -80 Divide each side by '-8'. x = 10 Simplifying x = 10
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