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Simplifying x + -32 = 2(3x + -1) Reorder the terms: -32 + x = 2(3x + -1) Reorder the terms: -32 + x = 2(-1 + 3x) -32 + x = (-1 * 2 + 3x * 2) -32 + x = (-2 + 6x) Solving -32 + x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -32 + x + -6x = -2 + 6x + -6x Combine like terms: x + -6x = -5x -32 + -5x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -32 + -5x = -2 + 0 -32 + -5x = -2 Add '32' to each side of the equation. -32 + 32 + -5x = -2 + 32 Combine like terms: -32 + 32 = 0 0 + -5x = -2 + 32 -5x = -2 + 32 Combine like terms: -2 + 32 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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