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Simplifying 2(7x + -9x) = 10 + 8(2 + x) Combine like terms: 7x + -9x = -2x 2(-2x) = 10 + 8(2 + x) Remove parenthesis around (-2x) 2 * -2x = 10 + 8(2 + x) Multiply 2 * -2 -4x = 10 + 8(2 + x) -4x = 10 + (2 * 8 + x * 8) -4x = 10 + (16 + 8x) Combine like terms: 10 + 16 = 26 -4x = 26 + 8x Solving -4x = 26 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -4x + -8x = 26 + 8x + -8x Combine like terms: -4x + -8x = -12x -12x = 26 + 8x + -8x Combine like terms: 8x + -8x = 0 -12x = 26 + 0 -12x = 26 Divide each side by '-12'. x = -2.166666667 Simplifying x = -2.166666667
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