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Simplifying 6x + -1(4 + -7x) = 3x + -8(2 + x) 6x + (4 * -1 + -7x * -1) = 3x + -8(2 + x) 6x + (-4 + 7x) = 3x + -8(2 + x) Reorder the terms: -4 + 6x + 7x = 3x + -8(2 + x) Combine like terms: 6x + 7x = 13x -4 + 13x = 3x + -8(2 + x) -4 + 13x = 3x + (2 * -8 + x * -8) -4 + 13x = 3x + (-16 + -8x) Reorder the terms: -4 + 13x = -16 + 3x + -8x Combine like terms: 3x + -8x = -5x -4 + 13x = -16 + -5x Solving -4 + 13x = -16 + -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. -4 + 13x + 5x = -16 + -5x + 5x Combine like terms: 13x + 5x = 18x -4 + 18x = -16 + -5x + 5x Combine like terms: -5x + 5x = 0 -4 + 18x = -16 + 0 -4 + 18x = -16 Add '4' to each side of the equation. -4 + 4 + 18x = -16 + 4 Combine like terms: -4 + 4 = 0 0 + 18x = -16 + 4 18x = -16 + 4 Combine like terms: -16 + 4 = -12 18x = -12 Divide each side by '18'. x = -0.6666666667 Simplifying x = -0.6666666667
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