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Simplifying 9(x + 3) = 7x + -2x + 9 Reorder the terms: 9(3 + x) = 7x + -2x + 9 (3 * 9 + x * 9) = 7x + -2x + 9 (27 + 9x) = 7x + -2x + 9 Reorder the terms: 27 + 9x = 9 + 7x + -2x Combine like terms: 7x + -2x = 5x 27 + 9x = 9 + 5x Solving 27 + 9x = 9 + 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. 27 + 9x + -5x = 9 + 5x + -5x Combine like terms: 9x + -5x = 4x 27 + 4x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 27 + 4x = 9 + 0 27 + 4x = 9 Add '-27' to each side of the equation. 27 + -27 + 4x = 9 + -27 Combine like terms: 27 + -27 = 0 0 + 4x = 9 + -27 4x = 9 + -27 Combine like terms: 9 + -27 = -18 4x = -18 Divide each side by '4'. x = -4.5 Simplifying x = -4.5
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