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Simplifying 4(x + -4) + -38 = 6x + -2(x + 3) Reorder the terms: 4(-4 + x) + -38 = 6x + -2(x + 3) (-4 * 4 + x * 4) + -38 = 6x + -2(x + 3) (-16 + 4x) + -38 = 6x + -2(x + 3) Reorder the terms: -16 + -38 + 4x = 6x + -2(x + 3) Combine like terms: -16 + -38 = -54 -54 + 4x = 6x + -2(x + 3) Reorder the terms: -54 + 4x = 6x + -2(3 + x) -54 + 4x = 6x + (3 * -2 + x * -2) -54 + 4x = 6x + (-6 + -2x) Reorder the terms: -54 + 4x = -6 + 6x + -2x Combine like terms: 6x + -2x = 4x -54 + 4x = -6 + 4x Add '-4x' to each side of the equation. -54 + 4x + -4x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -54 + 0 = -6 + 4x + -4x -54 = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -54 = -6 + 0 -54 = -6 Solving -54 = -6 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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