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Simplifying 5(x + 2) + -7x = -14 Reorder the terms: 5(2 + x) + -7x = -14 (2 * 5 + x * 5) + -7x = -14 (10 + 5x) + -7x = -14 Combine like terms: 5x + -7x = -2x 10 + -2x = -14 Solving 10 + -2x = -14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -2x = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -14 + -10 -2x = -14 + -10 Combine like terms: -14 + -10 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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