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Simplifying -3x + -32 = 4(2x + 3) Reorder the terms: -32 + -3x = 4(2x + 3) Reorder the terms: -32 + -3x = 4(3 + 2x) -32 + -3x = (3 * 4 + 2x * 4) -32 + -3x = (12 + 8x) Solving -32 + -3x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -32 + -3x + -8x = 12 + 8x + -8x Combine like terms: -3x + -8x = -11x -32 + -11x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -32 + -11x = 12 + 0 -32 + -11x = 12 Add '32' to each side of the equation. -32 + 32 + -11x = 12 + 32 Combine like terms: -32 + 32 = 0 0 + -11x = 12 + 32 -11x = 12 + 32 Combine like terms: 12 + 32 = 44 -11x = 44 Divide each side by '-11'. x = -4 Simplifying x = -4
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