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Simplifying 7(x + 9) + x = 4(x + 5) + 2 Reorder the terms: 7(9 + x) + x = 4(x + 5) + 2 (9 * 7 + x * 7) + x = 4(x + 5) + 2 (63 + 7x) + x = 4(x + 5) + 2 Combine like terms: 7x + x = 8x 63 + 8x = 4(x + 5) + 2 Reorder the terms: 63 + 8x = 4(5 + x) + 2 63 + 8x = (5 * 4 + x * 4) + 2 63 + 8x = (20 + 4x) + 2 Reorder the terms: 63 + 8x = 20 + 2 + 4x Combine like terms: 20 + 2 = 22 63 + 8x = 22 + 4x Solving 63 + 8x = 22 + 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. 63 + 8x + -4x = 22 + 4x + -4x Combine like terms: 8x + -4x = 4x 63 + 4x = 22 + 4x + -4x Combine like terms: 4x + -4x = 0 63 + 4x = 22 + 0 63 + 4x = 22 Add '-63' to each side of the equation. 63 + -63 + 4x = 22 + -63 Combine like terms: 63 + -63 = 0 0 + 4x = 22 + -63 4x = 22 + -63 Combine like terms: 22 + -63 = -41 4x = -41 Divide each side by '4'. x = -10.25 Simplifying x = -10.25
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