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Simplifying 9(4x + -5) = 12x + -4(x + -6) Reorder the terms: 9(-5 + 4x) = 12x + -4(x + -6) (-5 * 9 + 4x * 9) = 12x + -4(x + -6) (-45 + 36x) = 12x + -4(x + -6) Reorder the terms: -45 + 36x = 12x + -4(-6 + x) -45 + 36x = 12x + (-6 * -4 + x * -4) -45 + 36x = 12x + (24 + -4x) Reorder the terms: -45 + 36x = 24 + 12x + -4x Combine like terms: 12x + -4x = 8x -45 + 36x = 24 + 8x Solving -45 + 36x = 24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -45 + 36x + -8x = 24 + 8x + -8x Combine like terms: 36x + -8x = 28x -45 + 28x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 -45 + 28x = 24 + 0 -45 + 28x = 24 Add '45' to each side of the equation. -45 + 45 + 28x = 24 + 45 Combine like terms: -45 + 45 = 0 0 + 28x = 24 + 45 28x = 24 + 45 Combine like terms: 24 + 45 = 69 28x = 69 Divide each side by '28'. x = 2.464285714 Simplifying x = 2.464285714
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