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Simplifying 2(x + -14) + 3(3x + 5) = 0 Reorder the terms: 2(-14 + x) + 3(3x + 5) = 0 (-14 * 2 + x * 2) + 3(3x + 5) = 0 (-28 + 2x) + 3(3x + 5) = 0 Reorder the terms: -28 + 2x + 3(5 + 3x) = 0 -28 + 2x + (5 * 3 + 3x * 3) = 0 -28 + 2x + (15 + 9x) = 0 Reorder the terms: -28 + 15 + 2x + 9x = 0 Combine like terms: -28 + 15 = -13 -13 + 2x + 9x = 0 Combine like terms: 2x + 9x = 11x -13 + 11x = 0 Solving -13 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 11x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 11x = 0 + 13 11x = 0 + 13 Combine like terms: 0 + 13 = 13 11x = 13 Divide each side by '11'. x = 1.181818182 Simplifying x = 1.181818182
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