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Simplifying 10x + 40 = 15x + 35 Reorder the terms: 40 + 10x = 15x + 35 Reorder the terms: 40 + 10x = 35 + 15x Solving 40 + 10x = 35 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 40 + 10x + -15x = 35 + 15x + -15x Combine like terms: 10x + -15x = -5x 40 + -5x = 35 + 15x + -15x Combine like terms: 15x + -15x = 0 40 + -5x = 35 + 0 40 + -5x = 35 Add '-40' to each side of the equation. 40 + -40 + -5x = 35 + -40 Combine like terms: 40 + -40 = 0 0 + -5x = 35 + -40 -5x = 35 + -40 Combine like terms: 35 + -40 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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