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Simplifying 5(x + -6) + -1(7x + 2) = -12 Reorder the terms: 5(-6 + x) + -1(7x + 2) = -12 (-6 * 5 + x * 5) + -1(7x + 2) = -12 (-30 + 5x) + -1(7x + 2) = -12 Reorder the terms: -30 + 5x + -1(2 + 7x) = -12 -30 + 5x + (2 * -1 + 7x * -1) = -12 -30 + 5x + (-2 + -7x) = -12 Reorder the terms: -30 + -2 + 5x + -7x = -12 Combine like terms: -30 + -2 = -32 -32 + 5x + -7x = -12 Combine like terms: 5x + -7x = -2x -32 + -2x = -12 Solving -32 + -2x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -2x = -12 + 32 Combine like terms: -32 + 32 = 0 0 + -2x = -12 + 32 -2x = -12 + 32 Combine like terms: -12 + 32 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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