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Simplifying 2(2x + 3) + -1 = 2x + 8 Reorder the terms: 2(3 + 2x) + -1 = 2x + 8 (3 * 2 + 2x * 2) + -1 = 2x + 8 (6 + 4x) + -1 = 2x + 8 Reorder the terms: 6 + -1 + 4x = 2x + 8 Combine like terms: 6 + -1 = 5 5 + 4x = 2x + 8 Reorder the terms: 5 + 4x = 8 + 2x Solving 5 + 4x = 8 + 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. 5 + 4x + -2x = 8 + 2x + -2x Combine like terms: 4x + -2x = 2x 5 + 2x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 2x = 8 + 0 5 + 2x = 8 Add '-5' to each side of the equation. 5 + -5 + 2x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 8 + -5 2x = 8 + -5 Combine like terms: 8 + -5 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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