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Simplifying 7(x + -3) + 6 = 3x + 4(-4 + x) Reorder the terms: 7(-3 + x) + 6 = 3x + 4(-4 + x) (-3 * 7 + x * 7) + 6 = 3x + 4(-4 + x) (-21 + 7x) + 6 = 3x + 4(-4 + x) Reorder the terms: -21 + 6 + 7x = 3x + 4(-4 + x) Combine like terms: -21 + 6 = -15 -15 + 7x = 3x + 4(-4 + x) -15 + 7x = 3x + (-4 * 4 + x * 4) -15 + 7x = 3x + (-16 + 4x) Reorder the terms: -15 + 7x = -16 + 3x + 4x Combine like terms: 3x + 4x = 7x -15 + 7x = -16 + 7x Add '-7x' to each side of the equation. -15 + 7x + -7x = -16 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + 0 = -16 + 7x + -7x -15 = -16 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 = -16 + 0 -15 = -16 Solving -15 = -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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