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Simplifying -5 + 3(4x + -9) = 5 + -4(3x + -9) Reorder the terms: -5 + 3(-9 + 4x) = 5 + -4(3x + -9) -5 + (-9 * 3 + 4x * 3) = 5 + -4(3x + -9) -5 + (-27 + 12x) = 5 + -4(3x + -9) Combine like terms: -5 + -27 = -32 -32 + 12x = 5 + -4(3x + -9) Reorder the terms: -32 + 12x = 5 + -4(-9 + 3x) -32 + 12x = 5 + (-9 * -4 + 3x * -4) -32 + 12x = 5 + (36 + -12x) Combine like terms: 5 + 36 = 41 -32 + 12x = 41 + -12x Solving -32 + 12x = 41 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -32 + 12x + 12x = 41 + -12x + 12x Combine like terms: 12x + 12x = 24x -32 + 24x = 41 + -12x + 12x Combine like terms: -12x + 12x = 0 -32 + 24x = 41 + 0 -32 + 24x = 41 Add '32' to each side of the equation. -32 + 32 + 24x = 41 + 32 Combine like terms: -32 + 32 = 0 0 + 24x = 41 + 32 24x = 41 + 32 Combine like terms: 41 + 32 = 73 24x = 73 Divide each side by '24'. x = 3.041666667 Simplifying x = 3.041666667
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