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Simplifying -10x + -3(9 + -1x) = 4(-2x + -5) + -12 -10x + (9 * -3 + -1x * -3) = 4(-2x + -5) + -12 -10x + (-27 + 3x) = 4(-2x + -5) + -12 Reorder the terms: -27 + -10x + 3x = 4(-2x + -5) + -12 Combine like terms: -10x + 3x = -7x -27 + -7x = 4(-2x + -5) + -12 Reorder the terms: -27 + -7x = 4(-5 + -2x) + -12 -27 + -7x = (-5 * 4 + -2x * 4) + -12 -27 + -7x = (-20 + -8x) + -12 Reorder the terms: -27 + -7x = -20 + -12 + -8x Combine like terms: -20 + -12 = -32 -27 + -7x = -32 + -8x Solving -27 + -7x = -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. -27 + -7x + 8x = -32 + -8x + 8x Combine like terms: -7x + 8x = 1x -27 + 1x = -32 + -8x + 8x Combine like terms: -8x + 8x = 0 -27 + 1x = -32 + 0 -27 + 1x = -32 Add '27' to each side of the equation. -27 + 27 + 1x = -32 + 27 Combine like terms: -27 + 27 = 0 0 + 1x = -32 + 27 1x = -32 + 27 Combine like terms: -32 + 27 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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