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Simplifying 3(5x + 8) = 2(x + 8) Reorder the terms: 3(8 + 5x) = 2(x + 8) (8 * 3 + 5x * 3) = 2(x + 8) (24 + 15x) = 2(x + 8) Reorder the terms: 24 + 15x = 2(8 + x) 24 + 15x = (8 * 2 + x * 2) 24 + 15x = (16 + 2x) Solving 24 + 15x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 24 + 15x + -2x = 16 + 2x + -2x Combine like terms: 15x + -2x = 13x 24 + 13x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + 13x = 16 + 0 24 + 13x = 16 Add '-24' to each side of the equation. 24 + -24 + 13x = 16 + -24 Combine like terms: 24 + -24 = 0 0 + 13x = 16 + -24 13x = 16 + -24 Combine like terms: 16 + -24 = -8 13x = -8 Divide each side by '13'. x = -0.6153846154 Simplifying x = -0.6153846154
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