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Simplifying 4x + -7(x + -2) = 3x + -1(4x + 2) + -2x Reorder the terms: 4x + -7(-2 + x) = 3x + -1(4x + 2) + -2x 4x + (-2 * -7 + x * -7) = 3x + -1(4x + 2) + -2x 4x + (14 + -7x) = 3x + -1(4x + 2) + -2x Reorder the terms: 14 + 4x + -7x = 3x + -1(4x + 2) + -2x Combine like terms: 4x + -7x = -3x 14 + -3x = 3x + -1(4x + 2) + -2x Reorder the terms: 14 + -3x = 3x + -1(2 + 4x) + -2x 14 + -3x = 3x + (2 * -1 + 4x * -1) + -2x 14 + -3x = 3x + (-2 + -4x) + -2x Reorder the terms: 14 + -3x = -2 + 3x + -4x + -2x Combine like terms: 3x + -4x = -1x 14 + -3x = -2 + -1x + -2x Combine like terms: -1x + -2x = -3x 14 + -3x = -2 + -3x Add '3x' to each side of the equation. 14 + -3x + 3x = -2 + -3x + 3x Combine like terms: -3x + 3x = 0 14 + 0 = -2 + -3x + 3x 14 = -2 + -3x + 3x Combine like terms: -3x + 3x = 0 14 = -2 + 0 14 = -2 Solving 14 = -2 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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