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Simplifying 2(5x + 4) + -1(x + 2) = -12 Reorder the terms: 2(4 + 5x) + -1(x + 2) = -12 (4 * 2 + 5x * 2) + -1(x + 2) = -12 (8 + 10x) + -1(x + 2) = -12 Reorder the terms: 8 + 10x + -1(2 + x) = -12 8 + 10x + (2 * -1 + x * -1) = -12 8 + 10x + (-2 + -1x) = -12 Reorder the terms: 8 + -2 + 10x + -1x = -12 Combine like terms: 8 + -2 = 6 6 + 10x + -1x = -12 Combine like terms: 10x + -1x = 9x 6 + 9x = -12 Solving 6 + 9x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 9x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = -12 + -6 9x = -12 + -6 Combine like terms: -12 + -6 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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