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Simplifying 3(x + -6) + -2(4x + 5) = 2 Reorder the terms: 3(-6 + x) + -2(4x + 5) = 2 (-6 * 3 + x * 3) + -2(4x + 5) = 2 (-18 + 3x) + -2(4x + 5) = 2 Reorder the terms: -18 + 3x + -2(5 + 4x) = 2 -18 + 3x + (5 * -2 + 4x * -2) = 2 -18 + 3x + (-10 + -8x) = 2 Reorder the terms: -18 + -10 + 3x + -8x = 2 Combine like terms: -18 + -10 = -28 -28 + 3x + -8x = 2 Combine like terms: 3x + -8x = -5x -28 + -5x = 2 Solving -28 + -5x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -5x = 2 + 28 Combine like terms: -28 + 28 = 0 0 + -5x = 2 + 28 -5x = 2 + 28 Combine like terms: 2 + 28 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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