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Simplifying 3 + 9(-3x + -4) + 14 = 45 Reorder the terms: 3 + 9(-4 + -3x) + 14 = 45 3 + (-4 * 9 + -3x * 9) + 14 = 45 3 + (-36 + -27x) + 14 = 45 Reorder the terms: 3 + -36 + 14 + -27x = 45 Combine like terms: 3 + -36 = -33 -33 + 14 + -27x = 45 Combine like terms: -33 + 14 = -19 -19 + -27x = 45 Solving -19 + -27x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -27x = 45 + 19 Combine like terms: -19 + 19 = 0 0 + -27x = 45 + 19 -27x = 45 + 19 Combine like terms: 45 + 19 = 64 -27x = 64 Divide each side by '-27'. x = -2.37037037 Simplifying x = -2.37037037
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