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Simplifying 8(3x + 2) = 5(x + 6) + -5 Reorder the terms: 8(2 + 3x) = 5(x + 6) + -5 (2 * 8 + 3x * 8) = 5(x + 6) + -5 (16 + 24x) = 5(x + 6) + -5 Reorder the terms: 16 + 24x = 5(6 + x) + -5 16 + 24x = (6 * 5 + x * 5) + -5 16 + 24x = (30 + 5x) + -5 Reorder the terms: 16 + 24x = 30 + -5 + 5x Combine like terms: 30 + -5 = 25 16 + 24x = 25 + 5x Solving 16 + 24x = 25 + 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. 16 + 24x + -5x = 25 + 5x + -5x Combine like terms: 24x + -5x = 19x 16 + 19x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 16 + 19x = 25 + 0 16 + 19x = 25 Add '-16' to each side of the equation. 16 + -16 + 19x = 25 + -16 Combine like terms: 16 + -16 = 0 0 + 19x = 25 + -16 19x = 25 + -16 Combine like terms: 25 + -16 = 9 19x = 9 Divide each side by '19'. x = 0.4736842105 Simplifying x = 0.4736842105
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