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Simplifying -32 + 7x = 4(3x + 2) Reorder the terms: -32 + 7x = 4(2 + 3x) -32 + 7x = (2 * 4 + 3x * 4) -32 + 7x = (8 + 12x) Solving -32 + 7x = 8 + 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. -32 + 7x + -12x = 8 + 12x + -12x Combine like terms: 7x + -12x = -5x -32 + -5x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 -32 + -5x = 8 + 0 -32 + -5x = 8 Add '32' to each side of the equation. -32 + 32 + -5x = 8 + 32 Combine like terms: -32 + 32 = 0 0 + -5x = 8 + 32 -5x = 8 + 32 Combine like terms: 8 + 32 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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