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Simplifying 5 + 2(2x + -3) + 1 = 2(x + 5) Reorder the terms: 5 + 2(-3 + 2x) + 1 = 2(x + 5) 5 + (-3 * 2 + 2x * 2) + 1 = 2(x + 5) 5 + (-6 + 4x) + 1 = 2(x + 5) Reorder the terms: 5 + -6 + 1 + 4x = 2(x + 5) Combine like terms: 5 + -6 = -1 -1 + 1 + 4x = 2(x + 5) Combine like terms: -1 + 1 = 0 0 + 4x = 2(x + 5) 4x = 2(x + 5) Reorder the terms: 4x = 2(5 + x) 4x = (5 * 2 + x * 2) 4x = (10 + 2x) Solving 4x = 10 + 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. 4x + -2x = 10 + 2x + -2x Combine like terms: 4x + -2x = 2x 2x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 2x = 10 + 0 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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