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Simplifying -3(2x + 1) + -1x = 5(x + -2) + -7 Reorder the terms: -3(1 + 2x) + -1x = 5(x + -2) + -7 (1 * -3 + 2x * -3) + -1x = 5(x + -2) + -7 (-3 + -6x) + -1x = 5(x + -2) + -7 Combine like terms: -6x + -1x = -7x -3 + -7x = 5(x + -2) + -7 Reorder the terms: -3 + -7x = 5(-2 + x) + -7 -3 + -7x = (-2 * 5 + x * 5) + -7 -3 + -7x = (-10 + 5x) + -7 Reorder the terms: -3 + -7x = -10 + -7 + 5x Combine like terms: -10 + -7 = -17 -3 + -7x = -17 + 5x Solving -3 + -7x = -17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -3 + -7x + -5x = -17 + 5x + -5x Combine like terms: -7x + -5x = -12x -3 + -12x = -17 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -12x = -17 + 0 -3 + -12x = -17 Add '3' to each side of the equation. -3 + 3 + -12x = -17 + 3 Combine like terms: -3 + 3 = 0 0 + -12x = -17 + 3 -12x = -17 + 3 Combine like terms: -17 + 3 = -14 -12x = -14 Divide each side by '-12'. x = 1.166666667 Simplifying x = 1.166666667
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