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Simplifying -5(x + 1) = 3x + -7 + 2(2x + 8) Reorder the terms: -5(1 + x) = 3x + -7 + 2(2x + 8) (1 * -5 + x * -5) = 3x + -7 + 2(2x + 8) (-5 + -5x) = 3x + -7 + 2(2x + 8) Reorder the terms: -5 + -5x = 3x + -7 + 2(8 + 2x) -5 + -5x = 3x + -7 + (8 * 2 + 2x * 2) -5 + -5x = 3x + -7 + (16 + 4x) Reorder the terms: -5 + -5x = -7 + 16 + 3x + 4x Combine like terms: -7 + 16 = 9 -5 + -5x = 9 + 3x + 4x Combine like terms: 3x + 4x = 7x -5 + -5x = 9 + 7x Solving -5 + -5x = 9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -5 + -5x + -7x = 9 + 7x + -7x Combine like terms: -5x + -7x = -12x -5 + -12x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + -12x = 9 + 0 -5 + -12x = 9 Add '5' to each side of the equation. -5 + 5 + -12x = 9 + 5 Combine like terms: -5 + 5 = 0 0 + -12x = 9 + 5 -12x = 9 + 5 Combine like terms: 9 + 5 = 14 -12x = 14 Divide each side by '-12'. x = -1.166666667 Simplifying x = -1.166666667
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