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Simplifying -1x + -12 + 3x + 6 = 6x + 33 Reorder the terms: -12 + 6 + -1x + 3x = 6x + 33 Combine like terms: -12 + 6 = -6 -6 + -1x + 3x = 6x + 33 Combine like terms: -1x + 3x = 2x -6 + 2x = 6x + 33 Reorder the terms: -6 + 2x = 33 + 6x Solving -6 + 2x = 33 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 2x + -6x = 33 + 6x + -6x Combine like terms: 2x + -6x = -4x -6 + -4x = 33 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -4x = 33 + 0 -6 + -4x = 33 Add '6' to each side of the equation. -6 + 6 + -4x = 33 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = 33 + 6 -4x = 33 + 6 Combine like terms: 33 + 6 = 39 -4x = 39 Divide each side by '-4'. x = -9.75 Simplifying x = -9.75
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