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Simplifying (6) + -1(4x + 7) = (19) + (8x) 6 + -1(4x + 7) = (19) + (8x) Reorder the terms: 6 + -1(7 + 4x) = (19) + (8x) 6 + (7 * -1 + 4x * -1) = (19) + (8x) 6 + (-7 + -4x) = (19) + (8x) Combine like terms: 6 + -7 = -1 -1 + -4x = (19) + (8x) -1 + -4x = 19 + (8x) Solving -1 + -4x = 19 + (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. -1 + -4x + (-8x) = 19 + (8x) + (-8x) Combine like terms: -4x + (-8x) = -12x -1 + -12x = 19 + (8x) + (-8x) Combine like terms: (8x) + (-8x) = 0 -1 + -12x = 19 + 0 -1 + -12x = 19 Add '1' to each side of the equation. -1 + 1 + -12x = 19 + 1 Combine like terms: -1 + 1 = 0 0 + -12x = 19 + 1 -12x = 19 + 1 Combine like terms: 19 + 1 = 20 -12x = 20 Divide each side by '-12'. x = -1.666666667 Simplifying x = -1.666666667
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