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Simplifying 10x + -1(-2x + 7) = (x + -6) + -3(7x + -8) Reorder the terms: 10x + -1(7 + -2x) = (x + -6) + -3(7x + -8) 10x + (7 * -1 + -2x * -1) = (x + -6) + -3(7x + -8) 10x + (-7 + 2x) = (x + -6) + -3(7x + -8) Reorder the terms: -7 + 10x + 2x = (x + -6) + -3(7x + -8) Combine like terms: 10x + 2x = 12x -7 + 12x = (x + -6) + -3(7x + -8) Reorder the terms: -7 + 12x = (-6 + x) + -3(7x + -8) Remove parenthesis around (-6 + x) -7 + 12x = -6 + x + -3(7x + -8) Reorder the terms: -7 + 12x = -6 + x + -3(-8 + 7x) -7 + 12x = -6 + x + (-8 * -3 + 7x * -3) -7 + 12x = -6 + x + (24 + -21x) Reorder the terms: -7 + 12x = -6 + 24 + x + -21x Combine like terms: -6 + 24 = 18 -7 + 12x = 18 + x + -21x Combine like terms: x + -21x = -20x -7 + 12x = 18 + -20x Solving -7 + 12x = 18 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -7 + 12x + 20x = 18 + -20x + 20x Combine like terms: 12x + 20x = 32x -7 + 32x = 18 + -20x + 20x Combine like terms: -20x + 20x = 0 -7 + 32x = 18 + 0 -7 + 32x = 18 Add '7' to each side of the equation. -7 + 7 + 32x = 18 + 7 Combine like terms: -7 + 7 = 0 0 + 32x = 18 + 7 32x = 18 + 7 Combine like terms: 18 + 7 = 25 32x = 25 Divide each side by '32'. x = 0.78125 Simplifying x = 0.78125
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