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Simplifying 100 = 2(x + 40) + 2x Reorder the terms: 100 = 2(40 + x) + 2x 100 = (40 * 2 + x * 2) + 2x 100 = (80 + 2x) + 2x Combine like terms: 2x + 2x = 4x 100 = 80 + 4x Solving 100 = 80 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 100 + -4x = 80 + 4x + -4x Combine like terms: 4x + -4x = 0 100 + -4x = 80 + 0 100 + -4x = 80 Add '-100' to each side of the equation. 100 + -100 + -4x = 80 + -100 Combine like terms: 100 + -100 = 0 0 + -4x = 80 + -100 -4x = 80 + -100 Combine like terms: 80 + -100 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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