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Simplifying 100 = 30x + 40x Combine like terms: 30x + 40x = 70x 100 = 70x Solving 100 = 70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70x' to each side of the equation. 100 + -70x = 70x + -70x Combine like terms: 70x + -70x = 0 100 + -70x = 0 Add '-100' to each side of the equation. 100 + -100 + -70x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -70x = 0 + -100 -70x = 0 + -100 Combine like terms: 0 + -100 = -100 -70x = -100 Divide each side by '-70'. x = 1.428571429 Simplifying x = 1.428571429
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