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Simplifying 5(x + 7) + -4 = 7(x + 5) + -14 Reorder the terms: 5(7 + x) + -4 = 7(x + 5) + -14 (7 * 5 + x * 5) + -4 = 7(x + 5) + -14 (35 + 5x) + -4 = 7(x + 5) + -14 Reorder the terms: 35 + -4 + 5x = 7(x + 5) + -14 Combine like terms: 35 + -4 = 31 31 + 5x = 7(x + 5) + -14 Reorder the terms: 31 + 5x = 7(5 + x) + -14 31 + 5x = (5 * 7 + x * 7) + -14 31 + 5x = (35 + 7x) + -14 Reorder the terms: 31 + 5x = 35 + -14 + 7x Combine like terms: 35 + -14 = 21 31 + 5x = 21 + 7x Solving 31 + 5x = 21 + 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. 31 + 5x + -7x = 21 + 7x + -7x Combine like terms: 5x + -7x = -2x 31 + -2x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 31 + -2x = 21 + 0 31 + -2x = 21 Add '-31' to each side of the equation. 31 + -31 + -2x = 21 + -31 Combine like terms: 31 + -31 = 0 0 + -2x = 21 + -31 -2x = 21 + -31 Combine like terms: 21 + -31 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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