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Simplifying x + -4 + 1 + -7x + 10 = x + 6 + -1x + -6 Reorder the terms: -4 + 1 + 10 + x + -7x = x + 6 + -1x + -6 Combine like terms: -4 + 1 = -3 -3 + 10 + x + -7x = x + 6 + -1x + -6 Combine like terms: -3 + 10 = 7 7 + x + -7x = x + 6 + -1x + -6 Combine like terms: x + -7x = -6x 7 + -6x = x + 6 + -1x + -6 Reorder the terms: 7 + -6x = 6 + -6 + x + -1x Combine like terms: 6 + -6 = 0 7 + -6x = 0 + x + -1x 7 + -6x = x + -1x Combine like terms: x + -1x = 0 7 + -6x = 0 Solving 7 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -6x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 0 + -7 -6x = 0 + -7 Combine like terms: 0 + -7 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667
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