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Simplifying -1x + -12 + 3x + 1 = 6x + 66 Reorder the terms: -12 + 1 + -1x + 3x = 6x + 66 Combine like terms: -12 + 1 = -11 -11 + -1x + 3x = 6x + 66 Combine like terms: -1x + 3x = 2x -11 + 2x = 6x + 66 Reorder the terms: -11 + 2x = 66 + 6x Solving -11 + 2x = 66 + 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. -11 + 2x + -6x = 66 + 6x + -6x Combine like terms: 2x + -6x = -4x -11 + -4x = 66 + 6x + -6x Combine like terms: 6x + -6x = 0 -11 + -4x = 66 + 0 -11 + -4x = 66 Add '11' to each side of the equation. -11 + 11 + -4x = 66 + 11 Combine like terms: -11 + 11 = 0 0 + -4x = 66 + 11 -4x = 66 + 11 Combine like terms: 66 + 11 = 77 -4x = 77 Divide each side by '-4'. x = -19.25 Simplifying x = -19.25
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