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Simplifying 3(x + -6) + -5(x + 2) = -12 Reorder the terms: 3(-6 + x) + -5(x + 2) = -12 (-6 * 3 + x * 3) + -5(x + 2) = -12 (-18 + 3x) + -5(x + 2) = -12 Reorder the terms: -18 + 3x + -5(2 + x) = -12 -18 + 3x + (2 * -5 + x * -5) = -12 -18 + 3x + (-10 + -5x) = -12 Reorder the terms: -18 + -10 + 3x + -5x = -12 Combine like terms: -18 + -10 = -28 -28 + 3x + -5x = -12 Combine like terms: 3x + -5x = -2x -28 + -2x = -12 Solving -28 + -2x = -12 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 + -2x = -12 + 28 Combine like terms: -28 + 28 = 0 0 + -2x = -12 + 28 -2x = -12 + 28 Combine like terms: -12 + 28 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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