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Simplifying 3(2x + 1) + -5 = 5x + 8 + -1x Reorder the terms: 3(1 + 2x) + -5 = 5x + 8 + -1x (1 * 3 + 2x * 3) + -5 = 5x + 8 + -1x (3 + 6x) + -5 = 5x + 8 + -1x Reorder the terms: 3 + -5 + 6x = 5x + 8 + -1x Combine like terms: 3 + -5 = -2 -2 + 6x = 5x + 8 + -1x Reorder the terms: -2 + 6x = 8 + 5x + -1x Combine like terms: 5x + -1x = 4x -2 + 6x = 8 + 4x Solving -2 + 6x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 6x + -4x = 8 + 4x + -4x Combine like terms: 6x + -4x = 2x -2 + 2x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 2x = 8 + 0 -2 + 2x = 8 Add '2' to each side of the equation. -2 + 2 + 2x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 8 + 2 2x = 8 + 2 Combine like terms: 8 + 2 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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