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Simplifying -12(x + 3) + -1(-9x + -4) = x + -5 + 3 Reorder the terms: -12(3 + x) + -1(-9x + -4) = x + -5 + 3 (3 * -12 + x * -12) + -1(-9x + -4) = x + -5 + 3 (-36 + -12x) + -1(-9x + -4) = x + -5 + 3 Reorder the terms: -36 + -12x + -1(-4 + -9x) = x + -5 + 3 -36 + -12x + (-4 * -1 + -9x * -1) = x + -5 + 3 -36 + -12x + (4 + 9x) = x + -5 + 3 Reorder the terms: -36 + 4 + -12x + 9x = x + -5 + 3 Combine like terms: -36 + 4 = -32 -32 + -12x + 9x = x + -5 + 3 Combine like terms: -12x + 9x = -3x -32 + -3x = x + -5 + 3 Reorder the terms: -32 + -3x = -5 + 3 + x Combine like terms: -5 + 3 = -2 -32 + -3x = -2 + x Solving -32 + -3x = -2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -32 + -3x + -1x = -2 + x + -1x Combine like terms: -3x + -1x = -4x -32 + -4x = -2 + x + -1x Combine like terms: x + -1x = 0 -32 + -4x = -2 + 0 -32 + -4x = -2 Add '32' to each side of the equation. -32 + 32 + -4x = -2 + 32 Combine like terms: -32 + 32 = 0 0 + -4x = -2 + 32 -4x = -2 + 32 Combine like terms: -2 + 32 = 30 -4x = 30 Divide each side by '-4'. x = -7.5 Simplifying x = -7.5
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