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Simplifying -5(x + 3) + -1(-6x + 9) = 2 Reorder the terms: -5(3 + x) + -1(-6x + 9) = 2 (3 * -5 + x * -5) + -1(-6x + 9) = 2 (-15 + -5x) + -1(-6x + 9) = 2 Reorder the terms: -15 + -5x + -1(9 + -6x) = 2 -15 + -5x + (9 * -1 + -6x * -1) = 2 -15 + -5x + (-9 + 6x) = 2 Reorder the terms: -15 + -9 + -5x + 6x = 2 Combine like terms: -15 + -9 = -24 -24 + -5x + 6x = 2 Combine like terms: -5x + 6x = 1x -24 + 1x = 2 Solving -24 + 1x = 2 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 + 1x = 2 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = 2 + 24 1x = 2 + 24 Combine like terms: 2 + 24 = 26 1x = 26 Divide each side by '1'. x = 26 Simplifying x = 26
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