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Simplifying 5(x + 9) = -6x + 1 Reorder the terms: 5(9 + x) = -6x + 1 (9 * 5 + x * 5) = -6x + 1 (45 + 5x) = -6x + 1 Reorder the terms: 45 + 5x = 1 + -6x Solving 45 + 5x = 1 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 45 + 5x + 6x = 1 + -6x + 6x Combine like terms: 5x + 6x = 11x 45 + 11x = 1 + -6x + 6x Combine like terms: -6x + 6x = 0 45 + 11x = 1 + 0 45 + 11x = 1 Add '-45' to each side of the equation. 45 + -45 + 11x = 1 + -45 Combine like terms: 45 + -45 = 0 0 + 11x = 1 + -45 11x = 1 + -45 Combine like terms: 1 + -45 = -44 11x = -44 Divide each side by '11'. x = -4 Simplifying x = -4
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