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Simplifying 5(x + 9) + 7x = 8x + 1 Reorder the terms: 5(9 + x) + 7x = 8x + 1 (9 * 5 + x * 5) + 7x = 8x + 1 (45 + 5x) + 7x = 8x + 1 Combine like terms: 5x + 7x = 12x 45 + 12x = 8x + 1 Reorder the terms: 45 + 12x = 1 + 8x Solving 45 + 12x = 1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 45 + 12x + -8x = 1 + 8x + -8x Combine like terms: 12x + -8x = 4x 45 + 4x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 45 + 4x = 1 + 0 45 + 4x = 1 Add '-45' to each side of the equation. 45 + -45 + 4x = 1 + -45 Combine like terms: 45 + -45 = 0 0 + 4x = 1 + -45 4x = 1 + -45 Combine like terms: 1 + -45 = -44 4x = -44 Divide each side by '4'. x = -11 Simplifying x = -11
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