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Simplifying 2(4x + 3) + -5 = 5x + 2 Reorder the terms: 2(3 + 4x) + -5 = 5x + 2 (3 * 2 + 4x * 2) + -5 = 5x + 2 (6 + 8x) + -5 = 5x + 2 Reorder the terms: 6 + -5 + 8x = 5x + 2 Combine like terms: 6 + -5 = 1 1 + 8x = 5x + 2 Reorder the terms: 1 + 8x = 2 + 5x Solving 1 + 8x = 2 + 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 + 8x + -5x = 2 + 5x + -5x Combine like terms: 8x + -5x = 3x 1 + 3x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + 3x = 2 + 0 1 + 3x = 2 Add '-1' to each side of the equation. 1 + -1 + 3x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 2 + -1 3x = 2 + -1 Combine like terms: 2 + -1 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333
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