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Simplifying 150 + 30x = 100 + 40x Solving 150 + 30x = 100 + 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. 150 + 30x + -40x = 100 + 40x + -40x Combine like terms: 30x + -40x = -10x 150 + -10x = 100 + 40x + -40x Combine like terms: 40x + -40x = 0 150 + -10x = 100 + 0 150 + -10x = 100 Add '-150' to each side of the equation. 150 + -150 + -10x = 100 + -150 Combine like terms: 150 + -150 = 0 0 + -10x = 100 + -150 -10x = 100 + -150 Combine like terms: 100 + -150 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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