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Simplifying -2(7 + -3x) + -3(6 + 2x) = 3x + 5x (7 * -2 + -3x * -2) + -3(6 + 2x) = 3x + 5x (-14 + 6x) + -3(6 + 2x) = 3x + 5x -14 + 6x + (6 * -3 + 2x * -3) = 3x + 5x -14 + 6x + (-18 + -6x) = 3x + 5x Reorder the terms: -14 + -18 + 6x + -6x = 3x + 5x Combine like terms: -14 + -18 = -32 -32 + 6x + -6x = 3x + 5x Combine like terms: 6x + -6x = 0 -32 + 0 = 3x + 5x -32 = 3x + 5x Combine like terms: 3x + 5x = 8x -32 = 8x Solving -32 = 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 + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 -32 + -8x = 0 Add '32' to each side of the equation. -32 + 32 + -8x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -8x = 0 + 32 -8x = 0 + 32 Combine like terms: 0 + 32 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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