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Simplifying 5x + 2(9 + 3x) = 3(x + 5) 5x + (9 * 2 + 3x * 2) = 3(x + 5) 5x + (18 + 6x) = 3(x + 5) Reorder the terms: 18 + 5x + 6x = 3(x + 5) Combine like terms: 5x + 6x = 11x 18 + 11x = 3(x + 5) Reorder the terms: 18 + 11x = 3(5 + x) 18 + 11x = (5 * 3 + x * 3) 18 + 11x = (15 + 3x) Solving 18 + 11x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 18 + 11x + -3x = 15 + 3x + -3x Combine like terms: 11x + -3x = 8x 18 + 8x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + 8x = 15 + 0 18 + 8x = 15 Add '-18' to each side of the equation. 18 + -18 + 8x = 15 + -18 Combine like terms: 18 + -18 = 0 0 + 8x = 15 + -18 8x = 15 + -18 Combine like terms: 15 + -18 = -3 8x = -3 Divide each side by '8'. x = -0.375 Simplifying x = -0.375
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