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Simplifying 6x + -32 = 7(x + -2) + 5x Reorder the terms: -32 + 6x = 7(x + -2) + 5x Reorder the terms: -32 + 6x = 7(-2 + x) + 5x -32 + 6x = (-2 * 7 + x * 7) + 5x -32 + 6x = (-14 + 7x) + 5x Combine like terms: 7x + 5x = 12x -32 + 6x = -14 + 12x Solving -32 + 6x = -14 + 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 + 6x + -12x = -14 + 12x + -12x Combine like terms: 6x + -12x = -6x -32 + -6x = -14 + 12x + -12x Combine like terms: 12x + -12x = 0 -32 + -6x = -14 + 0 -32 + -6x = -14 Add '32' to each side of the equation. -32 + 32 + -6x = -14 + 32 Combine like terms: -32 + 32 = 0 0 + -6x = -14 + 32 -6x = -14 + 32 Combine like terms: -14 + 32 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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