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Simplifying 5[x + 1] = 4[x + 8] Reorder the terms: 5[1 + x] = 4[x + 8] [1 * 5 + x * 5] = 4[x + 8] [5 + 5x] = 4[x + 8] Reorder the terms: 5 + 5x = 4[8 + x] 5 + 5x = [8 * 4 + x * 4] 5 + 5x = [32 + 4x] Solving 5 + 5x = 32 + 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 + 5x + -4x = 32 + 4x + -4x Combine like terms: 5x + -4x = 1x 5 + 1x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + 1x = 32 + 0 5 + 1x = 32 Add '-5' to each side of the equation. 5 + -5 + 1x = 32 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 32 + -5 1x = 32 + -5 Combine like terms: 32 + -5 = 27 1x = 27 Divide each side by '1'. x = 27 Simplifying x = 27
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