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Simplifying 5x + 20 + 6x = 7x + 40 Reorder the terms: 20 + 5x + 6x = 7x + 40 Combine like terms: 5x + 6x = 11x 20 + 11x = 7x + 40 Reorder the terms: 20 + 11x = 40 + 7x Solving 20 + 11x = 40 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 20 + 11x + -7x = 40 + 7x + -7x Combine like terms: 11x + -7x = 4x 20 + 4x = 40 + 7x + -7x Combine like terms: 7x + -7x = 0 20 + 4x = 40 + 0 20 + 4x = 40 Add '-20' to each side of the equation. 20 + -20 + 4x = 40 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = 40 + -20 4x = 40 + -20 Combine like terms: 40 + -20 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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