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Simplifying 3x + -1(6x + 9) = 2x + -44 Reorder the terms: 3x + -1(9 + 6x) = 2x + -44 3x + (9 * -1 + 6x * -1) = 2x + -44 3x + (-9 + -6x) = 2x + -44 Reorder the terms: -9 + 3x + -6x = 2x + -44 Combine like terms: 3x + -6x = -3x -9 + -3x = 2x + -44 Reorder the terms: -9 + -3x = -44 + 2x Solving -9 + -3x = -44 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -9 + -3x + -2x = -44 + 2x + -2x Combine like terms: -3x + -2x = -5x -9 + -5x = -44 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + -5x = -44 + 0 -9 + -5x = -44 Add '9' to each side of the equation. -9 + 9 + -5x = -44 + 9 Combine like terms: -9 + 9 = 0 0 + -5x = -44 + 9 -5x = -44 + 9 Combine like terms: -44 + 9 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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