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Simplifying 5(x + 2) + -2(3 + -2x) = -14 Reorder the terms: 5(2 + x) + -2(3 + -2x) = -14 (2 * 5 + x * 5) + -2(3 + -2x) = -14 (10 + 5x) + -2(3 + -2x) = -14 10 + 5x + (3 * -2 + -2x * -2) = -14 10 + 5x + (-6 + 4x) = -14 Reorder the terms: 10 + -6 + 5x + 4x = -14 Combine like terms: 10 + -6 = 4 4 + 5x + 4x = -14 Combine like terms: 5x + 4x = 9x 4 + 9x = -14 Solving 4 + 9x = -14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 9x = -14 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = -14 + -4 9x = -14 + -4 Combine like terms: -14 + -4 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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