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Simplifying 12x + -1(x + 9) = 6x + -4 Reorder the terms: 12x + -1(9 + x) = 6x + -4 12x + (9 * -1 + x * -1) = 6x + -4 12x + (-9 + -1x) = 6x + -4 Reorder the terms: -9 + 12x + -1x = 6x + -4 Combine like terms: 12x + -1x = 11x -9 + 11x = 6x + -4 Reorder the terms: -9 + 11x = -4 + 6x Solving -9 + 11x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -9 + 11x + -6x = -4 + 6x + -6x Combine like terms: 11x + -6x = 5x -9 + 5x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + 5x = -4 + 0 -9 + 5x = -4 Add '9' to each side of the equation. -9 + 9 + 5x = -4 + 9 Combine like terms: -9 + 9 = 0 0 + 5x = -4 + 9 5x = -4 + 9 Combine like terms: -4 + 9 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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