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Simplifying 3(x + -4) + 5 = 5x + -2(5 + x) Reorder the terms: 3(-4 + x) + 5 = 5x + -2(5 + x) (-4 * 3 + x * 3) + 5 = 5x + -2(5 + x) (-12 + 3x) + 5 = 5x + -2(5 + x) Reorder the terms: -12 + 5 + 3x = 5x + -2(5 + x) Combine like terms: -12 + 5 = -7 -7 + 3x = 5x + -2(5 + x) -7 + 3x = 5x + (5 * -2 + x * -2) -7 + 3x = 5x + (-10 + -2x) Reorder the terms: -7 + 3x = -10 + 5x + -2x Combine like terms: 5x + -2x = 3x -7 + 3x = -10 + 3x Add '-3x' to each side of the equation. -7 + 3x + -3x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 0 = -10 + 3x + -3x -7 = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 = -10 + 0 -7 = -10 Solving -7 = -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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