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Simplifying 2(x + 7) = 7(x + 4) + -4 Reorder the terms: 2(7 + x) = 7(x + 4) + -4 (7 * 2 + x * 2) = 7(x + 4) + -4 (14 + 2x) = 7(x + 4) + -4 Reorder the terms: 14 + 2x = 7(4 + x) + -4 14 + 2x = (4 * 7 + x * 7) + -4 14 + 2x = (28 + 7x) + -4 Reorder the terms: 14 + 2x = 28 + -4 + 7x Combine like terms: 28 + -4 = 24 14 + 2x = 24 + 7x Solving 14 + 2x = 24 + 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. 14 + 2x + -7x = 24 + 7x + -7x Combine like terms: 2x + -7x = -5x 14 + -5x = 24 + 7x + -7x Combine like terms: 7x + -7x = 0 14 + -5x = 24 + 0 14 + -5x = 24 Add '-14' to each side of the equation. 14 + -14 + -5x = 24 + -14 Combine like terms: 14 + -14 = 0 0 + -5x = 24 + -14 -5x = 24 + -14 Combine like terms: 24 + -14 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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