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Simplifying 3x + 4x + 10 = 2x + 40 Reorder the terms: 10 + 3x + 4x = 2x + 40 Combine like terms: 3x + 4x = 7x 10 + 7x = 2x + 40 Reorder the terms: 10 + 7x = 40 + 2x Solving 10 + 7x = 40 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 10 + 7x + -2x = 40 + 2x + -2x Combine like terms: 7x + -2x = 5x 10 + 5x = 40 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 5x = 40 + 0 10 + 5x = 40 Add '-10' to each side of the equation. 10 + -10 + 5x = 40 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 40 + -10 5x = 40 + -10 Combine like terms: 40 + -10 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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