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Simplifying 8(1 + 3x) = 27 + 5x (1 * 8 + 3x * 8) = 27 + 5x (8 + 24x) = 27 + 5x Solving 8 + 24x = 27 + 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. 8 + 24x + -5x = 27 + 5x + -5x Combine like terms: 24x + -5x = 19x 8 + 19x = 27 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 19x = 27 + 0 8 + 19x = 27 Add '-8' to each side of the equation. 8 + -8 + 19x = 27 + -8 Combine like terms: 8 + -8 = 0 0 + 19x = 27 + -8 19x = 27 + -8 Combine like terms: 27 + -8 = 19 19x = 19 Divide each side by '19'. x = 1 Simplifying x = 1
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