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Simplifying 9x + -1(6x + 9) = 4x + -12 Reorder the terms: 9x + -1(9 + 6x) = 4x + -12 9x + (9 * -1 + 6x * -1) = 4x + -12 9x + (-9 + -6x) = 4x + -12 Reorder the terms: -9 + 9x + -6x = 4x + -12 Combine like terms: 9x + -6x = 3x -9 + 3x = 4x + -12 Reorder the terms: -9 + 3x = -12 + 4x Solving -9 + 3x = -12 + 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. -9 + 3x + -4x = -12 + 4x + -4x Combine like terms: 3x + -4x = -1x -9 + -1x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + -1x = -12 + 0 -9 + -1x = -12 Add '9' to each side of the equation. -9 + 9 + -1x = -12 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = -12 + 9 -1x = -12 + 9 Combine like terms: -12 + 9 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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