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Simplifying (2x + -9) + -1(3x + -3) = -1(3x + 3) + -3x + 9 Reorder the terms: (-9 + 2x) + -1(3x + -3) = -1(3x + 3) + -3x + 9 Remove parenthesis around (-9 + 2x) -9 + 2x + -1(3x + -3) = -1(3x + 3) + -3x + 9 Reorder the terms: -9 + 2x + -1(-3 + 3x) = -1(3x + 3) + -3x + 9 -9 + 2x + (-3 * -1 + 3x * -1) = -1(3x + 3) + -3x + 9 -9 + 2x + (3 + -3x) = -1(3x + 3) + -3x + 9 Reorder the terms: -9 + 3 + 2x + -3x = -1(3x + 3) + -3x + 9 Combine like terms: -9 + 3 = -6 -6 + 2x + -3x = -1(3x + 3) + -3x + 9 Combine like terms: 2x + -3x = -1x -6 + -1x = -1(3x + 3) + -3x + 9 Reorder the terms: -6 + -1x = -1(3 + 3x) + -3x + 9 -6 + -1x = (3 * -1 + 3x * -1) + -3x + 9 -6 + -1x = (-3 + -3x) + -3x + 9 Reorder the terms: -6 + -1x = -3 + 9 + -3x + -3x Combine like terms: -3 + 9 = 6 -6 + -1x = 6 + -3x + -3x Combine like terms: -3x + -3x = -6x -6 + -1x = 6 + -6x Solving -6 + -1x = 6 + -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. -6 + -1x + 6x = 6 + -6x + 6x Combine like terms: -1x + 6x = 5x -6 + 5x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 5x = 6 + 0 -6 + 5x = 6 Add '6' to each side of the equation. -6 + 6 + 5x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 6 + 6 5x = 6 + 6 Combine like terms: 6 + 6 = 12 5x = 12 Divide each side by '5'. x = 2.4 Simplifying x = 2.4
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