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Simplifying 9(4x + -3) + -6(x + -4) = 7 Reorder the terms: 9(-3 + 4x) + -6(x + -4) = 7 (-3 * 9 + 4x * 9) + -6(x + -4) = 7 (-27 + 36x) + -6(x + -4) = 7 Reorder the terms: -27 + 36x + -6(-4 + x) = 7 -27 + 36x + (-4 * -6 + x * -6) = 7 -27 + 36x + (24 + -6x) = 7 Reorder the terms: -27 + 24 + 36x + -6x = 7 Combine like terms: -27 + 24 = -3 -3 + 36x + -6x = 7 Combine like terms: 36x + -6x = 30x -3 + 30x = 7 Solving -3 + 30x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 30x = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 30x = 7 + 3 30x = 7 + 3 Combine like terms: 7 + 3 = 10 30x = 10 Divide each side by '30'. x = 0.3333333333 Simplifying x = 0.3333333333
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