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Simplifying 9(x + 1) = 5x + -6 Reorder the terms: 9(1 + x) = 5x + -6 (1 * 9 + x * 9) = 5x + -6 (9 + 9x) = 5x + -6 Reorder the terms: 9 + 9x = -6 + 5x Solving 9 + 9x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 9 + 9x + -5x = -6 + 5x + -5x Combine like terms: 9x + -5x = 4x 9 + 4x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 4x = -6 + 0 9 + 4x = -6 Add '-9' to each side of the equation. 9 + -9 + 4x = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = -6 + -9 4x = -6 + -9 Combine like terms: -6 + -9 = -15 4x = -15 Divide each side by '4'. x = -3.75 Simplifying x = -3.75
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