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Simplifying 4x + -3 = 12x + -32 Reorder the terms: -3 + 4x = 12x + -32 Reorder the terms: -3 + 4x = -32 + 12x Solving -3 + 4x = -32 + 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. -3 + 4x + -12x = -32 + 12x + -12x Combine like terms: 4x + -12x = -8x -3 + -8x = -32 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + -8x = -32 + 0 -3 + -8x = -32 Add '3' to each side of the equation. -3 + 3 + -8x = -32 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = -32 + 3 -8x = -32 + 3 Combine like terms: -32 + 3 = -29 -8x = -29 Divide each side by '-8'. x = 3.625 Simplifying x = 3.625
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