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Simplifying 71 + -5x + (-2x + 3) = 25 + -1(3x + 4) + -1(4x + 3) Reorder the terms: 71 + -5x + (3 + -2x) = 25 + -1(3x + 4) + -1(4x + 3) Remove parenthesis around (3 + -2x) 71 + -5x + 3 + -2x = 25 + -1(3x + 4) + -1(4x + 3) Reorder the terms: 71 + 3 + -5x + -2x = 25 + -1(3x + 4) + -1(4x + 3) Combine like terms: 71 + 3 = 74 74 + -5x + -2x = 25 + -1(3x + 4) + -1(4x + 3) Combine like terms: -5x + -2x = -7x 74 + -7x = 25 + -1(3x + 4) + -1(4x + 3) Reorder the terms: 74 + -7x = 25 + -1(4 + 3x) + -1(4x + 3) 74 + -7x = 25 + (4 * -1 + 3x * -1) + -1(4x + 3) 74 + -7x = 25 + (-4 + -3x) + -1(4x + 3) Reorder the terms: 74 + -7x = 25 + -4 + -3x + -1(3 + 4x) 74 + -7x = 25 + -4 + -3x + (3 * -1 + 4x * -1) 74 + -7x = 25 + -4 + -3x + (-3 + -4x) Reorder the terms: 74 + -7x = 25 + -4 + -3 + -3x + -4x Combine like terms: 25 + -4 = 21 74 + -7x = 21 + -3 + -3x + -4x Combine like terms: 21 + -3 = 18 74 + -7x = 18 + -3x + -4x Combine like terms: -3x + -4x = -7x 74 + -7x = 18 + -7x Add '7x' to each side of the equation. 74 + -7x + 7x = 18 + -7x + 7x Combine like terms: -7x + 7x = 0 74 + 0 = 18 + -7x + 7x 74 = 18 + -7x + 7x Combine like terms: -7x + 7x = 0 74 = 18 + 0 74 = 18 Solving 74 = 18 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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