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Simplifying 2x + 5 = 2(4x + 5) + -11x Reorder the terms: 5 + 2x = 2(4x + 5) + -11x Reorder the terms: 5 + 2x = 2(5 + 4x) + -11x 5 + 2x = (5 * 2 + 4x * 2) + -11x 5 + 2x = (10 + 8x) + -11x Combine like terms: 8x + -11x = -3x 5 + 2x = 10 + -3x Solving 5 + 2x = 10 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 5 + 2x + 3x = 10 + -3x + 3x Combine like terms: 2x + 3x = 5x 5 + 5x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 5 + 5x = 10 + 0 5 + 5x = 10 Add '-5' to each side of the equation. 5 + -5 + 5x = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = 10 + -5 5x = 10 + -5 Combine like terms: 10 + -5 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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