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Simplifying -6x + 7x = -7(x + -6) + 8(-2 + x) Combine like terms: -6x + 7x = 1x 1x = -7(x + -6) + 8(-2 + x) Reorder the terms: 1x = -7(-6 + x) + 8(-2 + x) 1x = (-6 * -7 + x * -7) + 8(-2 + x) 1x = (42 + -7x) + 8(-2 + x) 1x = 42 + -7x + (-2 * 8 + x * 8) 1x = 42 + -7x + (-16 + 8x) Reorder the terms: 1x = 42 + -16 + -7x + 8x Combine like terms: 42 + -16 = 26 1x = 26 + -7x + 8x Combine like terms: -7x + 8x = 1x 1x = 26 + 1x Add '-1x' to each side of the equation. 1x + -1x = 26 + 1x + -1x Combine like terms: 1x + -1x = 0 0 = 26 + 1x + -1x Combine like terms: 1x + -1x = 0 0 = 26 + 0 0 = 26 Solving 0 = 26 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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