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Simplifying -12x + -14x + -35 + -5x = 3(15) + -5x + 2(7x) Reorder the terms: -35 + -12x + -14x + -5x = 3(15) + -5x + 2(7x) Combine like terms: -12x + -14x = -26x -35 + -26x + -5x = 3(15) + -5x + 2(7x) Combine like terms: -26x + -5x = -31x -35 + -31x = 3(15) + -5x + 2(7x) Multiply 3 * 15 -35 + -31x = 45 + -5x + 2(7x) Remove parenthesis around (7x) -35 + -31x = 45 + -5x + 2 * 7x Multiply 2 * 7 -35 + -31x = 45 + -5x + 14x Combine like terms: -5x + 14x = 9x -35 + -31x = 45 + 9x Solving -35 + -31x = 45 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -35 + -31x + -9x = 45 + 9x + -9x Combine like terms: -31x + -9x = -40x -35 + -40x = 45 + 9x + -9x Combine like terms: 9x + -9x = 0 -35 + -40x = 45 + 0 -35 + -40x = 45 Add '35' to each side of the equation. -35 + 35 + -40x = 45 + 35 Combine like terms: -35 + 35 = 0 0 + -40x = 45 + 35 -40x = 45 + 35 Combine like terms: 45 + 35 = 80 -40x = 80 Divide each side by '-40'. x = -2 Simplifying x = -2
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