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Simplifying 6 + -7 = 7x + -10x + -6 Combine like terms: 6 + -7 = -1 -1 = 7x + -10x + -6 Reorder the terms: -1 = -6 + 7x + -10x Combine like terms: 7x + -10x = -3x -1 = -6 + -3x Solving -1 = -6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -1 + 3x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 -1 + 3x = -6 + 0 -1 + 3x = -6 Add '1' to each side of the equation. -1 + 1 + 3x = -6 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = -6 + 1 3x = -6 + 1 Combine like terms: -6 + 1 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667
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