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Simplifying 12(15x + -72) = -32(1 + -4x) Reorder the terms: 12(-72 + 15x) = -32(1 + -4x) (-72 * 12 + 15x * 12) = -32(1 + -4x) (-864 + 180x) = -32(1 + -4x) -864 + 180x = (1 * -32 + -4x * -32) -864 + 180x = (-32 + 128x) Solving -864 + 180x = -32 + 128x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-128x' to each side of the equation. -864 + 180x + -128x = -32 + 128x + -128x Combine like terms: 180x + -128x = 52x -864 + 52x = -32 + 128x + -128x Combine like terms: 128x + -128x = 0 -864 + 52x = -32 + 0 -864 + 52x = -32 Add '864' to each side of the equation. -864 + 864 + 52x = -32 + 864 Combine like terms: -864 + 864 = 0 0 + 52x = -32 + 864 52x = -32 + 864 Combine like terms: -32 + 864 = 832 52x = 832 Divide each side by '52'. x = 16 Simplifying x = 16
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