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Simplifying 30x + 25x + -15 = 40x + -5 + 20 Reorder the terms: -15 + 30x + 25x = 40x + -5 + 20 Combine like terms: 30x + 25x = 55x -15 + 55x = 40x + -5 + 20 Reorder the terms: -15 + 55x = -5 + 20 + 40x Combine like terms: -5 + 20 = 15 -15 + 55x = 15 + 40x Solving -15 + 55x = 15 + 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. -15 + 55x + -40x = 15 + 40x + -40x Combine like terms: 55x + -40x = 15x -15 + 15x = 15 + 40x + -40x Combine like terms: 40x + -40x = 0 -15 + 15x = 15 + 0 -15 + 15x = 15 Add '15' to each side of the equation. -15 + 15 + 15x = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 15x = 15 + 15 15x = 15 + 15 Combine like terms: 15 + 15 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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