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Simplifying 7(x + 4) + x = 4(x + 5) + 7 Reorder the terms: 7(4 + x) + x = 4(x + 5) + 7 (4 * 7 + x * 7) + x = 4(x + 5) + 7 (28 + 7x) + x = 4(x + 5) + 7 Combine like terms: 7x + x = 8x 28 + 8x = 4(x + 5) + 7 Reorder the terms: 28 + 8x = 4(5 + x) + 7 28 + 8x = (5 * 4 + x * 4) + 7 28 + 8x = (20 + 4x) + 7 Reorder the terms: 28 + 8x = 20 + 7 + 4x Combine like terms: 20 + 7 = 27 28 + 8x = 27 + 4x Solving 28 + 8x = 27 + 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. 28 + 8x + -4x = 27 + 4x + -4x Combine like terms: 8x + -4x = 4x 28 + 4x = 27 + 4x + -4x Combine like terms: 4x + -4x = 0 28 + 4x = 27 + 0 28 + 4x = 27 Add '-28' to each side of the equation. 28 + -28 + 4x = 27 + -28 Combine like terms: 28 + -28 = 0 0 + 4x = 27 + -28 4x = 27 + -28 Combine like terms: 27 + -28 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25
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