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Simplifying 7x + 21(-4x + -5) = -65 Reorder the terms: 7x + 21(-5 + -4x) = -65 7x + (-5 * 21 + -4x * 21) = -65 7x + (-105 + -84x) = -65 Reorder the terms: -105 + 7x + -84x = -65 Combine like terms: 7x + -84x = -77x -105 + -77x = -65 Solving -105 + -77x = -65 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '105' to each side of the equation. -105 + 105 + -77x = -65 + 105 Combine like terms: -105 + 105 = 0 0 + -77x = -65 + 105 -77x = -65 + 105 Combine like terms: -65 + 105 = 40 -77x = 40 Divide each side by '-77'. x = -0.5194805195 Simplifying x = -0.5194805195
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