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Simplifying 7(x + 7) + x = 4(x + 2) + -5 Reorder the terms: 7(7 + x) + x = 4(x + 2) + -5 (7 * 7 + x * 7) + x = 4(x + 2) + -5 (49 + 7x) + x = 4(x + 2) + -5 Combine like terms: 7x + x = 8x 49 + 8x = 4(x + 2) + -5 Reorder the terms: 49 + 8x = 4(2 + x) + -5 49 + 8x = (2 * 4 + x * 4) + -5 49 + 8x = (8 + 4x) + -5 Reorder the terms: 49 + 8x = 8 + -5 + 4x Combine like terms: 8 + -5 = 3 49 + 8x = 3 + 4x Solving 49 + 8x = 3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 49 + 8x + -4x = 3 + 4x + -4x Combine like terms: 8x + -4x = 4x 49 + 4x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 49 + 4x = 3 + 0 49 + 4x = 3 Add '-49' to each side of the equation. 49 + -49 + 4x = 3 + -49 Combine like terms: 49 + -49 = 0 0 + 4x = 3 + -49 4x = 3 + -49 Combine like terms: 3 + -49 = -46 4x = -46 Divide each side by '4'. x = -11.5 Simplifying x = -11.5
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