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Simplifying -5x + -35 = 4x + 12 + -6x Reorder the terms: -35 + -5x = 4x + 12 + -6x Reorder the terms: -35 + -5x = 12 + 4x + -6x Combine like terms: 4x + -6x = -2x -35 + -5x = 12 + -2x Solving -35 + -5x = 12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -35 + -5x + 2x = 12 + -2x + 2x Combine like terms: -5x + 2x = -3x -35 + -3x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -35 + -3x = 12 + 0 -35 + -3x = 12 Add '35' to each side of the equation. -35 + 35 + -3x = 12 + 35 Combine like terms: -35 + 35 = 0 0 + -3x = 12 + 35 -3x = 12 + 35 Combine like terms: 12 + 35 = 47 -3x = 47 Divide each side by '-3'. x = -15.66666667 Simplifying x = -15.66666667
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