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Simplifying 4(5x + -9) = 32(x + -3) Reorder the terms: 4(-9 + 5x) = 32(x + -3) (-9 * 4 + 5x * 4) = 32(x + -3) (-36 + 20x) = 32(x + -3) Reorder the terms: -36 + 20x = 32(-3 + x) -36 + 20x = (-3 * 32 + x * 32) -36 + 20x = (-96 + 32x) Solving -36 + 20x = -96 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -36 + 20x + -32x = -96 + 32x + -32x Combine like terms: 20x + -32x = -12x -36 + -12x = -96 + 32x + -32x Combine like terms: 32x + -32x = 0 -36 + -12x = -96 + 0 -36 + -12x = -96 Add '36' to each side of the equation. -36 + 36 + -12x = -96 + 36 Combine like terms: -36 + 36 = 0 0 + -12x = -96 + 36 -12x = -96 + 36 Combine like terms: -96 + 36 = -60 -12x = -60 Divide each side by '-12'. x = 5 Simplifying x = 5
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