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Simplifying 4(x + -3) + 2 = 6x + -2(x + -7) Reorder the terms: 4(-3 + x) + 2 = 6x + -2(x + -7) (-3 * 4 + x * 4) + 2 = 6x + -2(x + -7) (-12 + 4x) + 2 = 6x + -2(x + -7) Reorder the terms: -12 + 2 + 4x = 6x + -2(x + -7) Combine like terms: -12 + 2 = -10 -10 + 4x = 6x + -2(x + -7) Reorder the terms: -10 + 4x = 6x + -2(-7 + x) -10 + 4x = 6x + (-7 * -2 + x * -2) -10 + 4x = 6x + (14 + -2x) Reorder the terms: -10 + 4x = 14 + 6x + -2x Combine like terms: 6x + -2x = 4x -10 + 4x = 14 + 4x Add '-4x' to each side of the equation. -10 + 4x + -4x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 0 = 14 + 4x + -4x -10 = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 = 14 + 0 -10 = 14 Solving -10 = 14 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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