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Simplifying 2(2x + 1) + -3 = 5x + 8 Reorder the terms: 2(1 + 2x) + -3 = 5x + 8 (1 * 2 + 2x * 2) + -3 = 5x + 8 (2 + 4x) + -3 = 5x + 8 Reorder the terms: 2 + -3 + 4x = 5x + 8 Combine like terms: 2 + -3 = -1 -1 + 4x = 5x + 8 Reorder the terms: -1 + 4x = 8 + 5x Solving -1 + 4x = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1 + 4x + -5x = 8 + 5x + -5x Combine like terms: 4x + -5x = -1x -1 + -1x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -1x = 8 + 0 -1 + -1x = 8 Add '1' to each side of the equation. -1 + 1 + -1x = 8 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 8 + 1 -1x = 8 + 1 Combine like terms: 8 + 1 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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