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Simplifying 2(x + -9) + -6(5 + -3x) = 2 + -5x Reorder the terms: 2(-9 + x) + -6(5 + -3x) = 2 + -5x (-9 * 2 + x * 2) + -6(5 + -3x) = 2 + -5x (-18 + 2x) + -6(5 + -3x) = 2 + -5x -18 + 2x + (5 * -6 + -3x * -6) = 2 + -5x -18 + 2x + (-30 + 18x) = 2 + -5x Reorder the terms: -18 + -30 + 2x + 18x = 2 + -5x Combine like terms: -18 + -30 = -48 -48 + 2x + 18x = 2 + -5x Combine like terms: 2x + 18x = 20x -48 + 20x = 2 + -5x Solving -48 + 20x = 2 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -48 + 20x + 5x = 2 + -5x + 5x Combine like terms: 20x + 5x = 25x -48 + 25x = 2 + -5x + 5x Combine like terms: -5x + 5x = 0 -48 + 25x = 2 + 0 -48 + 25x = 2 Add '48' to each side of the equation. -48 + 48 + 25x = 2 + 48 Combine like terms: -48 + 48 = 0 0 + 25x = 2 + 48 25x = 2 + 48 Combine like terms: 2 + 48 = 50 25x = 50 Divide each side by '25'. x = 2 Simplifying x = 2
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