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Simplifying 2(x + 5) + 4(2x + -1) = -14 Reorder the terms: 2(5 + x) + 4(2x + -1) = -14 (5 * 2 + x * 2) + 4(2x + -1) = -14 (10 + 2x) + 4(2x + -1) = -14 Reorder the terms: 10 + 2x + 4(-1 + 2x) = -14 10 + 2x + (-1 * 4 + 2x * 4) = -14 10 + 2x + (-4 + 8x) = -14 Reorder the terms: 10 + -4 + 2x + 8x = -14 Combine like terms: 10 + -4 = 6 6 + 2x + 8x = -14 Combine like terms: 2x + 8x = 10x 6 + 10x = -14 Solving 6 + 10x = -14 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 + 10x = -14 + -6 Combine like terms: 6 + -6 = 0 0 + 10x = -14 + -6 10x = -14 + -6 Combine like terms: -14 + -6 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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