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Simplifying 4(x + -3) + 2 = 3(x + 5) + x + -5 Reorder the terms: 4(-3 + x) + 2 = 3(x + 5) + x + -5 (-3 * 4 + x * 4) + 2 = 3(x + 5) + x + -5 (-12 + 4x) + 2 = 3(x + 5) + x + -5 Reorder the terms: -12 + 2 + 4x = 3(x + 5) + x + -5 Combine like terms: -12 + 2 = -10 -10 + 4x = 3(x + 5) + x + -5 Reorder the terms: -10 + 4x = 3(5 + x) + x + -5 -10 + 4x = (5 * 3 + x * 3) + x + -5 -10 + 4x = (15 + 3x) + x + -5 Reorder the terms: -10 + 4x = 15 + -5 + 3x + x Combine like terms: 15 + -5 = 10 -10 + 4x = 10 + 3x + x Combine like terms: 3x + x = 4x -10 + 4x = 10 + 4x Add '-4x' to each side of the equation. -10 + 4x + -4x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 0 = 10 + 4x + -4x -10 = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 = 10 + 0 -10 = 10 Solving -10 = 10 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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