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Simplifying 4(x + 1) + -3(x + 5) + 2(x + -3) = 3(x + -2) Reorder the terms: 4(1 + x) + -3(x + 5) + 2(x + -3) = 3(x + -2) (1 * 4 + x * 4) + -3(x + 5) + 2(x + -3) = 3(x + -2) (4 + 4x) + -3(x + 5) + 2(x + -3) = 3(x + -2) Reorder the terms: 4 + 4x + -3(5 + x) + 2(x + -3) = 3(x + -2) 4 + 4x + (5 * -3 + x * -3) + 2(x + -3) = 3(x + -2) 4 + 4x + (-15 + -3x) + 2(x + -3) = 3(x + -2) Reorder the terms: 4 + 4x + -15 + -3x + 2(-3 + x) = 3(x + -2) 4 + 4x + -15 + -3x + (-3 * 2 + x * 2) = 3(x + -2) 4 + 4x + -15 + -3x + (-6 + 2x) = 3(x + -2) Reorder the terms: 4 + -15 + -6 + 4x + -3x + 2x = 3(x + -2) Combine like terms: 4 + -15 = -11 -11 + -6 + 4x + -3x + 2x = 3(x + -2) Combine like terms: -11 + -6 = -17 -17 + 4x + -3x + 2x = 3(x + -2) Combine like terms: 4x + -3x = 1x -17 + 1x + 2x = 3(x + -2) Combine like terms: 1x + 2x = 3x -17 + 3x = 3(x + -2) Reorder the terms: -17 + 3x = 3(-2 + x) -17 + 3x = (-2 * 3 + x * 3) -17 + 3x = (-6 + 3x) Add '-3x' to each side of the equation. -17 + 3x + -3x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 + 0 = -6 + 3x + -3x -17 = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 = -6 + 0 -17 = -6 Solving -17 = -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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