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Simplifying 7(x + 9) + x = 4(x + 4) + -4 Reorder the terms: 7(9 + x) + x = 4(x + 4) + -4 (9 * 7 + x * 7) + x = 4(x + 4) + -4 (63 + 7x) + x = 4(x + 4) + -4 Combine like terms: 7x + x = 8x 63 + 8x = 4(x + 4) + -4 Reorder the terms: 63 + 8x = 4(4 + x) + -4 63 + 8x = (4 * 4 + x * 4) + -4 63 + 8x = (16 + 4x) + -4 Reorder the terms: 63 + 8x = 16 + -4 + 4x Combine like terms: 16 + -4 = 12 63 + 8x = 12 + 4x Solving 63 + 8x = 12 + 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 = 12 + 4x + -4x Combine like terms: 8x + -4x = 4x 63 + 4x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 63 + 4x = 12 + 0 63 + 4x = 12 Add '-63' to each side of the equation. 63 + -63 + 4x = 12 + -63 Combine like terms: 63 + -63 = 0 0 + 4x = 12 + -63 4x = 12 + -63 Combine like terms: 12 + -63 = -51 4x = -51 Divide each side by '4'. x = -12.75 Simplifying x = -12.75
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