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Simplifying 9(x + 8) + x = 4(x + 2) + 4 Reorder the terms: 9(8 + x) + x = 4(x + 2) + 4 (8 * 9 + x * 9) + x = 4(x + 2) + 4 (72 + 9x) + x = 4(x + 2) + 4 Combine like terms: 9x + x = 10x 72 + 10x = 4(x + 2) + 4 Reorder the terms: 72 + 10x = 4(2 + x) + 4 72 + 10x = (2 * 4 + x * 4) + 4 72 + 10x = (8 + 4x) + 4 Reorder the terms: 72 + 10x = 8 + 4 + 4x Combine like terms: 8 + 4 = 12 72 + 10x = 12 + 4x Solving 72 + 10x = 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. 72 + 10x + -4x = 12 + 4x + -4x Combine like terms: 10x + -4x = 6x 72 + 6x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 72 + 6x = 12 + 0 72 + 6x = 12 Add '-72' to each side of the equation. 72 + -72 + 6x = 12 + -72 Combine like terms: 72 + -72 = 0 0 + 6x = 12 + -72 6x = 12 + -72 Combine like terms: 12 + -72 = -60 6x = -60 Divide each side by '6'. x = -10 Simplifying x = -10
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