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Simplifying 100 + 3x = 4(2x + 10) Reorder the terms: 100 + 3x = 4(10 + 2x) 100 + 3x = (10 * 4 + 2x * 4) 100 + 3x = (40 + 8x) Solving 100 + 3x = 40 + 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 + 3x + -8x = 40 + 8x + -8x Combine like terms: 3x + -8x = -5x 100 + -5x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 100 + -5x = 40 + 0 100 + -5x = 40 Add '-100' to each side of the equation. 100 + -100 + -5x = 40 + -100 Combine like terms: 100 + -100 = 0 0 + -5x = 40 + -100 -5x = 40 + -100 Combine like terms: 40 + -100 = -60 -5x = -60 Divide each side by '-5'. x = 12 Simplifying x = 12
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