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Simplifying 100 + 30x = 10 + 40x Solving 100 + 30x = 10 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 100 + 30x + -40x = 10 + 40x + -40x Combine like terms: 30x + -40x = -10x 100 + -10x = 10 + 40x + -40x Combine like terms: 40x + -40x = 0 100 + -10x = 10 + 0 100 + -10x = 10 Add '-100' to each side of the equation. 100 + -100 + -10x = 10 + -100 Combine like terms: 100 + -100 = 0 0 + -10x = 10 + -100 -10x = 10 + -100 Combine like terms: 10 + -100 = -90 -10x = -90 Divide each side by '-10'. x = 9 Simplifying x = 9
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