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Simplifying -3(x + 5) + -1(x + 9) = 6 Reorder the terms: -3(5 + x) + -1(x + 9) = 6 (5 * -3 + x * -3) + -1(x + 9) = 6 (-15 + -3x) + -1(x + 9) = 6 Reorder the terms: -15 + -3x + -1(9 + x) = 6 -15 + -3x + (9 * -1 + x * -1) = 6 -15 + -3x + (-9 + -1x) = 6 Reorder the terms: -15 + -9 + -3x + -1x = 6 Combine like terms: -15 + -9 = -24 -24 + -3x + -1x = 6 Combine like terms: -3x + -1x = -4x -24 + -4x = 6 Solving -24 + -4x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -4x = 6 + 24 Combine like terms: -24 + 24 = 0 0 + -4x = 6 + 24 -4x = 6 + 24 Combine like terms: 6 + 24 = 30 -4x = 30 Divide each side by '-4'. x = -7.5 Simplifying x = -7.5
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