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Simplifying 4(x + 1) + 2(x + -3) = 3(x + -2) + 3(x + 5) Reorder the terms: 4(1 + x) + 2(x + -3) = 3(x + -2) + 3(x + 5) (1 * 4 + x * 4) + 2(x + -3) = 3(x + -2) + 3(x + 5) (4 + 4x) + 2(x + -3) = 3(x + -2) + 3(x + 5) Reorder the terms: 4 + 4x + 2(-3 + x) = 3(x + -2) + 3(x + 5) 4 + 4x + (-3 * 2 + x * 2) = 3(x + -2) + 3(x + 5) 4 + 4x + (-6 + 2x) = 3(x + -2) + 3(x + 5) Reorder the terms: 4 + -6 + 4x + 2x = 3(x + -2) + 3(x + 5) Combine like terms: 4 + -6 = -2 -2 + 4x + 2x = 3(x + -2) + 3(x + 5) Combine like terms: 4x + 2x = 6x -2 + 6x = 3(x + -2) + 3(x + 5) Reorder the terms: -2 + 6x = 3(-2 + x) + 3(x + 5) -2 + 6x = (-2 * 3 + x * 3) + 3(x + 5) -2 + 6x = (-6 + 3x) + 3(x + 5) Reorder the terms: -2 + 6x = -6 + 3x + 3(5 + x) -2 + 6x = -6 + 3x + (5 * 3 + x * 3) -2 + 6x = -6 + 3x + (15 + 3x) Reorder the terms: -2 + 6x = -6 + 15 + 3x + 3x Combine like terms: -6 + 15 = 9 -2 + 6x = 9 + 3x + 3x Combine like terms: 3x + 3x = 6x -2 + 6x = 9 + 6x Add '-6x' to each side of the equation. -2 + 6x + -6x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + 0 = 9 + 6x + -6x -2 = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 = 9 + 0 -2 = 9 Solving -2 = 9 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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