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Simplifying 5(2 + x) = 7x + 14 (2 * 5 + x * 5) = 7x + 14 (10 + 5x) = 7x + 14 Reorder the terms: 10 + 5x = 14 + 7x Solving 10 + 5x = 14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + 5x + -7x = 14 + 7x + -7x Combine like terms: 5x + -7x = -2x 10 + -2x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -2x = 14 + 0 10 + -2x = 14 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 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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