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Simplifying 3(x + 5) + 8x = 9x + 2 Reorder the terms: 3(5 + x) + 8x = 9x + 2 (5 * 3 + x * 3) + 8x = 9x + 2 (15 + 3x) + 8x = 9x + 2 Combine like terms: 3x + 8x = 11x 15 + 11x = 9x + 2 Reorder the terms: 15 + 11x = 2 + 9x Solving 15 + 11x = 2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 15 + 11x + -9x = 2 + 9x + -9x Combine like terms: 11x + -9x = 2x 15 + 2x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 15 + 2x = 2 + 0 15 + 2x = 2 Add '-15' to each side of the equation. 15 + -15 + 2x = 2 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 2 + -15 2x = 2 + -15 Combine like terms: 2 + -15 = -13 2x = -13 Divide each side by '2'. x = -6.5 Simplifying x = -6.5
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