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Simplifying 7 + 6(x + -2) = 10x + -4(x + 4) Reorder the terms: 7 + 6(-2 + x) = 10x + -4(x + 4) 7 + (-2 * 6 + x * 6) = 10x + -4(x + 4) 7 + (-12 + 6x) = 10x + -4(x + 4) Combine like terms: 7 + -12 = -5 -5 + 6x = 10x + -4(x + 4) Reorder the terms: -5 + 6x = 10x + -4(4 + x) -5 + 6x = 10x + (4 * -4 + x * -4) -5 + 6x = 10x + (-16 + -4x) Reorder the terms: -5 + 6x = -16 + 10x + -4x Combine like terms: 10x + -4x = 6x -5 + 6x = -16 + 6x Add '-6x' to each side of the equation. -5 + 6x + -6x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + 0 = -16 + 6x + -6x -5 = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 = -16 + 0 -5 = -16 Solving -5 = -16 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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