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Simplifying 3x + 40 + 2x = 5(4x + 2) Reorder the terms: 40 + 3x + 2x = 5(4x + 2) Combine like terms: 3x + 2x = 5x 40 + 5x = 5(4x + 2) Reorder the terms: 40 + 5x = 5(2 + 4x) 40 + 5x = (2 * 5 + 4x * 5) 40 + 5x = (10 + 20x) Solving 40 + 5x = 10 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 40 + 5x + -20x = 10 + 20x + -20x Combine like terms: 5x + -20x = -15x 40 + -15x = 10 + 20x + -20x Combine like terms: 20x + -20x = 0 40 + -15x = 10 + 0 40 + -15x = 10 Add '-40' to each side of the equation. 40 + -40 + -15x = 10 + -40 Combine like terms: 40 + -40 = 0 0 + -15x = 10 + -40 -15x = 10 + -40 Combine like terms: 10 + -40 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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