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Simplifying (-1x + -35) = (4x + 12) + -6x Reorder the terms: (-35 + -1x) = (4x + 12) + -6x Remove parenthesis around (-35 + -1x) -35 + -1x = (4x + 12) + -6x Reorder the terms: -35 + -1x = (12 + 4x) + -6x Remove parenthesis around (12 + 4x) -35 + -1x = 12 + 4x + -6x Combine like terms: 4x + -6x = -2x -35 + -1x = 12 + -2x Solving -35 + -1x = 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 + -1x + 2x = 12 + -2x + 2x Combine like terms: -1x + 2x = 1x -35 + 1x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -35 + 1x = 12 + 0 -35 + 1x = 12 Add '35' to each side of the equation. -35 + 35 + 1x = 12 + 35 Combine like terms: -35 + 35 = 0 0 + 1x = 12 + 35 1x = 12 + 35 Combine like terms: 12 + 35 = 47 1x = 47 Divide each side by '1'. x = 47 Simplifying x = 47
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