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Simplifying 3x + (9x + -1) = 4x + 71 Reorder the terms: 3x + (-1 + 9x) = 4x + 71 Remove parenthesis around (-1 + 9x) 3x + -1 + 9x = 4x + 71 Reorder the terms: -1 + 3x + 9x = 4x + 71 Combine like terms: 3x + 9x = 12x -1 + 12x = 4x + 71 Reorder the terms: -1 + 12x = 71 + 4x Solving -1 + 12x = 71 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + 12x + -4x = 71 + 4x + -4x Combine like terms: 12x + -4x = 8x -1 + 8x = 71 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + 8x = 71 + 0 -1 + 8x = 71 Add '1' to each side of the equation. -1 + 1 + 8x = 71 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = 71 + 1 8x = 71 + 1 Combine like terms: 71 + 1 = 72 8x = 72 Divide each side by '8'. x = 9 Simplifying x = 9
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