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Simplifying 8x + 5 = 4(1 + x) + 2 Reorder the terms: 5 + 8x = 4(1 + x) + 2 5 + 8x = (1 * 4 + x * 4) + 2 5 + 8x = (4 + 4x) + 2 Reorder the terms: 5 + 8x = 4 + 2 + 4x Combine like terms: 4 + 2 = 6 5 + 8x = 6 + 4x Solving 5 + 8x = 6 + 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. 5 + 8x + -4x = 6 + 4x + -4x Combine like terms: 8x + -4x = 4x 5 + 4x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + 4x = 6 + 0 5 + 4x = 6 Add '-5' to each side of the equation. 5 + -5 + 4x = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 6 + -5 4x = 6 + -5 Combine like terms: 6 + -5 = 1 4x = 1 Divide each side by '4'. x = 0.25 Simplifying x = 0.25
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