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Simplifying 6(x + 9) + x = 2(x + 3) + 2 Reorder the terms: 6(9 + x) + x = 2(x + 3) + 2 (9 * 6 + x * 6) + x = 2(x + 3) + 2 (54 + 6x) + x = 2(x + 3) + 2 Combine like terms: 6x + x = 7x 54 + 7x = 2(x + 3) + 2 Reorder the terms: 54 + 7x = 2(3 + x) + 2 54 + 7x = (3 * 2 + x * 2) + 2 54 + 7x = (6 + 2x) + 2 Reorder the terms: 54 + 7x = 6 + 2 + 2x Combine like terms: 6 + 2 = 8 54 + 7x = 8 + 2x Solving 54 + 7x = 8 + 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 = 8 + 2x + -2x Combine like terms: 7x + -2x = 5x 54 + 5x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 54 + 5x = 8 + 0 54 + 5x = 8 Add '-54' to each side of the equation. 54 + -54 + 5x = 8 + -54 Combine like terms: 54 + -54 = 0 0 + 5x = 8 + -54 5x = 8 + -54 Combine like terms: 8 + -54 = -46 5x = -46 Divide each side by '5'. x = -9.2 Simplifying x = -9.2
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