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Simplifying -2(4 + -3x) + 7 = 6(c + 1) (4 * -2 + -3x * -2) + 7 = 6(c + 1) (-8 + 6x) + 7 = 6(c + 1) Reorder the terms: -8 + 7 + 6x = 6(c + 1) Combine like terms: -8 + 7 = -1 -1 + 6x = 6(c + 1) Reorder the terms: -1 + 6x = 6(1 + c) -1 + 6x = (1 * 6 + c * 6) -1 + 6x = (6 + 6c) Solving -1 + 6x = 6 + 6c Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 6x = 6 + 1 + 6c Combine like terms: -1 + 1 = 0 0 + 6x = 6 + 1 + 6c 6x = 6 + 1 + 6c Combine like terms: 6 + 1 = 7 6x = 7 + 6c Divide each side by '6'. x = 1.166666667 + c Simplifying x = 1.166666667 + c
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