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Simplifying 3(-1x + -4) = 32(x + 3) Reorder the terms: 3(-4 + -1x) = 32(x + 3) (-4 * 3 + -1x * 3) = 32(x + 3) (-12 + -3x) = 32(x + 3) Reorder the terms: -12 + -3x = 32(3 + x) -12 + -3x = (3 * 32 + x * 32) -12 + -3x = (96 + 32x) Solving -12 + -3x = 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. -12 + -3x + -32x = 96 + 32x + -32x Combine like terms: -3x + -32x = -35x -12 + -35x = 96 + 32x + -32x Combine like terms: 32x + -32x = 0 -12 + -35x = 96 + 0 -12 + -35x = 96 Add '12' to each side of the equation. -12 + 12 + -35x = 96 + 12 Combine like terms: -12 + 12 = 0 0 + -35x = 96 + 12 -35x = 96 + 12 Combine like terms: 96 + 12 = 108 -35x = 108 Divide each side by '-35'. x = -3.085714286 Simplifying x = -3.085714286
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