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Simplifying 6(x + -1) + -1(x + 2) = -18 Reorder the terms: 6(-1 + x) + -1(x + 2) = -18 (-1 * 6 + x * 6) + -1(x + 2) = -18 (-6 + 6x) + -1(x + 2) = -18 Reorder the terms: -6 + 6x + -1(2 + x) = -18 -6 + 6x + (2 * -1 + x * -1) = -18 -6 + 6x + (-2 + -1x) = -18 Reorder the terms: -6 + -2 + 6x + -1x = -18 Combine like terms: -6 + -2 = -8 -8 + 6x + -1x = -18 Combine like terms: 6x + -1x = 5x -8 + 5x = -18 Solving -8 + 5x = -18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5x = -18 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = -18 + 8 5x = -18 + 8 Combine like terms: -18 + 8 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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