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Simplifying (2x + -9) + -1(3x + -3) = -1(-3 + x) + -3x + 9 Reorder the terms: (-9 + 2x) + -1(3x + -3) = -1(-3 + x) + -3x + 9 Remove parenthesis around (-9 + 2x) -9 + 2x + -1(3x + -3) = -1(-3 + x) + -3x + 9 Reorder the terms: -9 + 2x + -1(-3 + 3x) = -1(-3 + x) + -3x + 9 -9 + 2x + (-3 * -1 + 3x * -1) = -1(-3 + x) + -3x + 9 -9 + 2x + (3 + -3x) = -1(-3 + x) + -3x + 9 Reorder the terms: -9 + 3 + 2x + -3x = -1(-3 + x) + -3x + 9 Combine like terms: -9 + 3 = -6 -6 + 2x + -3x = -1(-3 + x) + -3x + 9 Combine like terms: 2x + -3x = -1x -6 + -1x = -1(-3 + x) + -3x + 9 -6 + -1x = (-3 * -1 + x * -1) + -3x + 9 -6 + -1x = (3 + -1x) + -3x + 9 Reorder the terms: -6 + -1x = 3 + 9 + -1x + -3x Combine like terms: 3 + 9 = 12 -6 + -1x = 12 + -1x + -3x Combine like terms: -1x + -3x = -4x -6 + -1x = 12 + -4x Solving -6 + -1x = 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. -6 + -1x + 4x = 12 + -4x + 4x Combine like terms: -1x + 4x = 3x -6 + 3x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 3x = 12 + 0 -6 + 3x = 12 Add '6' to each side of the equation. -6 + 6 + 3x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 12 + 6 3x = 12 + 6 Combine like terms: 12 + 6 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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