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Simplifying 7x + -1(9x + 7) = 6x + (5x + 9) + 3x + -1(4x + -7) Reorder the terms: 7x + -1(7 + 9x) = 6x + (5x + 9) + 3x + -1(4x + -7) 7x + (7 * -1 + 9x * -1) = 6x + (5x + 9) + 3x + -1(4x + -7) 7x + (-7 + -9x) = 6x + (5x + 9) + 3x + -1(4x + -7) Reorder the terms: -7 + 7x + -9x = 6x + (5x + 9) + 3x + -1(4x + -7) Combine like terms: 7x + -9x = -2x -7 + -2x = 6x + (5x + 9) + 3x + -1(4x + -7) Reorder the terms: -7 + -2x = 6x + (9 + 5x) + 3x + -1(4x + -7) Remove parenthesis around (9 + 5x) -7 + -2x = 6x + 9 + 5x + 3x + -1(4x + -7) Reorder the terms: -7 + -2x = 6x + 9 + 5x + 3x + -1(-7 + 4x) -7 + -2x = 6x + 9 + 5x + 3x + (-7 * -1 + 4x * -1) -7 + -2x = 6x + 9 + 5x + 3x + (7 + -4x) Reorder the terms: -7 + -2x = 9 + 7 + 6x + 5x + 3x + -4x Combine like terms: 9 + 7 = 16 -7 + -2x = 16 + 6x + 5x + 3x + -4x Combine like terms: 6x + 5x = 11x -7 + -2x = 16 + 11x + 3x + -4x Combine like terms: 11x + 3x = 14x -7 + -2x = 16 + 14x + -4x Combine like terms: 14x + -4x = 10x -7 + -2x = 16 + 10x Solving -7 + -2x = 16 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -7 + -2x + -10x = 16 + 10x + -10x Combine like terms: -2x + -10x = -12x -7 + -12x = 16 + 10x + -10x Combine like terms: 10x + -10x = 0 -7 + -12x = 16 + 0 -7 + -12x = 16 Add '7' to each side of the equation. -7 + 7 + -12x = 16 + 7 Combine like terms: -7 + 7 = 0 0 + -12x = 16 + 7 -12x = 16 + 7 Combine like terms: 16 + 7 = 23 -12x = 23 Divide each side by '-12'. x = -1.916666667 Simplifying x = -1.916666667
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