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Simplifying 3x + 2 + -1(4x + -3) = 2 + -1(x + 5) Reorder the terms: 3x + 2 + -1(-3 + 4x) = 2 + -1(x + 5) 3x + 2 + (-3 * -1 + 4x * -1) = 2 + -1(x + 5) 3x + 2 + (3 + -4x) = 2 + -1(x + 5) Reorder the terms: 2 + 3 + 3x + -4x = 2 + -1(x + 5) Combine like terms: 2 + 3 = 5 5 + 3x + -4x = 2 + -1(x + 5) Combine like terms: 3x + -4x = -1x 5 + -1x = 2 + -1(x + 5) Reorder the terms: 5 + -1x = 2 + -1(5 + x) 5 + -1x = 2 + (5 * -1 + x * -1) 5 + -1x = 2 + (-5 + -1x) Combine like terms: 2 + -5 = -3 5 + -1x = -3 + -1x Add 'x' to each side of the equation. 5 + -1x + x = -3 + -1x + x Combine like terms: -1x + x = 0 5 + 0 = -3 + -1x + x 5 = -3 + -1x + x Combine like terms: -1x + x = 0 5 = -3 + 0 5 = -3 Solving 5 = -3 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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