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Simplifying 3(x + 3) = 6 + 5(7 + -1x) Reorder the terms: 3(3 + x) = 6 + 5(7 + -1x) (3 * 3 + x * 3) = 6 + 5(7 + -1x) (9 + 3x) = 6 + 5(7 + -1x) 9 + 3x = 6 + (7 * 5 + -1x * 5) 9 + 3x = 6 + (35 + -5x) Combine like terms: 6 + 35 = 41 9 + 3x = 41 + -5x Solving 9 + 3x = 41 + -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 + 3x + 5x = 41 + -5x + 5x Combine like terms: 3x + 5x = 8x 9 + 8x = 41 + -5x + 5x Combine like terms: -5x + 5x = 0 9 + 8x = 41 + 0 9 + 8x = 41 Add '-9' to each side of the equation. 9 + -9 + 8x = 41 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 41 + -9 8x = 41 + -9 Combine like terms: 41 + -9 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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