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