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Simplifying -2(x + 6) + 5x + -9 = -1x + -33 Reorder the terms: -2(6 + x) + 5x + -9 = -1x + -33 (6 * -2 + x * -2) + 5x + -9 = -1x + -33 (-12 + -2x) + 5x + -9 = -1x + -33 Reorder the terms: -12 + -9 + -2x + 5x = -1x + -33 Combine like terms: -12 + -9 = -21 -21 + -2x + 5x = -1x + -33 Combine like terms: -2x + 5x = 3x -21 + 3x = -1x + -33 Reorder the terms: -21 + 3x = -33 + -1x Solving -21 + 3x = -33 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -21 + 3x + x = -33 + -1x + x Combine like terms: 3x + x = 4x -21 + 4x = -33 + -1x + x Combine like terms: -1x + x = 0 -21 + 4x = -33 + 0 -21 + 4x = -33 Add '21' to each side of the equation. -21 + 21 + 4x = -33 + 21 Combine like terms: -21 + 21 = 0 0 + 4x = -33 + 21 4x = -33 + 21 Combine like terms: -33 + 21 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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