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Simplifying 10x + 5 = 40x + -5 Reorder the terms: 5 + 10x = 40x + -5 Reorder the terms: 5 + 10x = -5 + 40x Solving 5 + 10x = -5 + 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. 5 + 10x + -40x = -5 + 40x + -40x Combine like terms: 10x + -40x = -30x 5 + -30x = -5 + 40x + -40x Combine like terms: 40x + -40x = 0 5 + -30x = -5 + 0 5 + -30x = -5 Add '-5' to each side of the equation. 5 + -5 + -30x = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -30x = -5 + -5 -30x = -5 + -5 Combine like terms: -5 + -5 = -10 -30x = -10 Divide each side by '-30'. x = 0.3333333333 Simplifying x = 0.3333333333
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