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Simplifying 9x + -12 + -1(2x + 3) + -1(3x + -4) = 9 Reorder the terms: 9x + -12 + -1(3 + 2x) + -1(3x + -4) = 9 9x + -12 + (3 * -1 + 2x * -1) + -1(3x + -4) = 9 9x + -12 + (-3 + -2x) + -1(3x + -4) = 9 Reorder the terms: 9x + -12 + -3 + -2x + -1(-4 + 3x) = 9 9x + -12 + -3 + -2x + (-4 * -1 + 3x * -1) = 9 9x + -12 + -3 + -2x + (4 + -3x) = 9 Reorder the terms: -12 + -3 + 4 + 9x + -2x + -3x = 9 Combine like terms: -12 + -3 = -15 -15 + 4 + 9x + -2x + -3x = 9 Combine like terms: -15 + 4 = -11 -11 + 9x + -2x + -3x = 9 Combine like terms: 9x + -2x = 7x -11 + 7x + -3x = 9 Combine like terms: 7x + -3x = 4x -11 + 4x = 9 Solving -11 + 4x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 4x = 9 + 11 Combine like terms: -11 + 11 = 0 0 + 4x = 9 + 11 4x = 9 + 11 Combine like terms: 9 + 11 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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