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Simplifying 9x + -7x = 2(-5x + -1) + 12(x + -5) Combine like terms: 9x + -7x = 2x 2x = 2(-5x + -1) + 12(x + -5) Reorder the terms: 2x = 2(-1 + -5x) + 12(x + -5) 2x = (-1 * 2 + -5x * 2) + 12(x + -5) 2x = (-2 + -10x) + 12(x + -5) Reorder the terms: 2x = -2 + -10x + 12(-5 + x) 2x = -2 + -10x + (-5 * 12 + x * 12) 2x = -2 + -10x + (-60 + 12x) Reorder the terms: 2x = -2 + -60 + -10x + 12x Combine like terms: -2 + -60 = -62 2x = -62 + -10x + 12x Combine like terms: -10x + 12x = 2x 2x = -62 + 2x Add '-2x' to each side of the equation. 2x + -2x = -62 + 2x + -2x Combine like terms: 2x + -2x = 0 0 = -62 + 2x + -2x Combine like terms: 2x + -2x = 0 0 = -62 + 0 0 = -62 Solving 0 = -62 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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