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Simplifying 10x + -7 = -2(-8x + 6) + 3(-6 + -2x) Reorder the terms: -7 + 10x = -2(-8x + 6) + 3(-6 + -2x) Reorder the terms: -7 + 10x = -2(6 + -8x) + 3(-6 + -2x) -7 + 10x = (6 * -2 + -8x * -2) + 3(-6 + -2x) -7 + 10x = (-12 + 16x) + 3(-6 + -2x) -7 + 10x = -12 + 16x + (-6 * 3 + -2x * 3) -7 + 10x = -12 + 16x + (-18 + -6x) Reorder the terms: -7 + 10x = -12 + -18 + 16x + -6x Combine like terms: -12 + -18 = -30 -7 + 10x = -30 + 16x + -6x Combine like terms: 16x + -6x = 10x -7 + 10x = -30 + 10x Add '-10x' to each side of the equation. -7 + 10x + -10x = -30 + 10x + -10x Combine like terms: 10x + -10x = 0 -7 + 0 = -30 + 10x + -10x -7 = -30 + 10x + -10x Combine like terms: 10x + -10x = 0 -7 = -30 + 0 -7 = -30 Solving -7 = -30 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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