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Simplifying 7(x + 9) + -9 = 2(x + 9) + 17 Reorder the terms: 7(9 + x) + -9 = 2(x + 9) + 17 (9 * 7 + x * 7) + -9 = 2(x + 9) + 17 (63 + 7x) + -9 = 2(x + 9) + 17 Reorder the terms: 63 + -9 + 7x = 2(x + 9) + 17 Combine like terms: 63 + -9 = 54 54 + 7x = 2(x + 9) + 17 Reorder the terms: 54 + 7x = 2(9 + x) + 17 54 + 7x = (9 * 2 + x * 2) + 17 54 + 7x = (18 + 2x) + 17 Reorder the terms: 54 + 7x = 18 + 17 + 2x Combine like terms: 18 + 17 = 35 54 + 7x = 35 + 2x Solving 54 + 7x = 35 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 54 + 7x + -2x = 35 + 2x + -2x Combine like terms: 7x + -2x = 5x 54 + 5x = 35 + 2x + -2x Combine like terms: 2x + -2x = 0 54 + 5x = 35 + 0 54 + 5x = 35 Add '-54' to each side of the equation. 54 + -54 + 5x = 35 + -54 Combine like terms: 54 + -54 = 0 0 + 5x = 35 + -54 5x = 35 + -54 Combine like terms: 35 + -54 = -19 5x = -19 Divide each side by '5'. x = -3.8 Simplifying x = -3.8
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