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Simplifying 3(x + 9) = 5(7 + -1x) Reorder the terms: 3(9 + x) = 5(7 + -1x) (9 * 3 + x * 3) = 5(7 + -1x) (27 + 3x) = 5(7 + -1x) 27 + 3x = (7 * 5 + -1x * 5) 27 + 3x = (35 + -5x) Solving 27 + 3x = 35 + -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 + 3x + 5x = 35 + -5x + 5x Combine like terms: 3x + 5x = 8x 27 + 8x = 35 + -5x + 5x Combine like terms: -5x + 5x = 0 27 + 8x = 35 + 0 27 + 8x = 35 Add '-27' to each side of the equation. 27 + -27 + 8x = 35 + -27 Combine like terms: 27 + -27 = 0 0 + 8x = 35 + -27 8x = 35 + -27 Combine like terms: 35 + -27 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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