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Simplifying x + -9 + 3(5x + 4) = 2(x + 6) Reorder the terms: x + -9 + 3(4 + 5x) = 2(x + 6) x + -9 + (4 * 3 + 5x * 3) = 2(x + 6) x + -9 + (12 + 15x) = 2(x + 6) Reorder the terms: -9 + 12 + x + 15x = 2(x + 6) Combine like terms: -9 + 12 = 3 3 + x + 15x = 2(x + 6) Combine like terms: x + 15x = 16x 3 + 16x = 2(x + 6) Reorder the terms: 3 + 16x = 2(6 + x) 3 + 16x = (6 * 2 + x * 2) 3 + 16x = (12 + 2x) Solving 3 + 16x = 12 + 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. 3 + 16x + -2x = 12 + 2x + -2x Combine like terms: 16x + -2x = 14x 3 + 14x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 14x = 12 + 0 3 + 14x = 12 Add '-3' to each side of the equation. 3 + -3 + 14x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 14x = 12 + -3 14x = 12 + -3 Combine like terms: 12 + -3 = 9 14x = 9 Divide each side by '14'. x = 0.6428571429 Simplifying x = 0.6428571429
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