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Simplifying 5(x + -4) + -7 = -3x + 8(x + -3) Reorder the terms: 5(-4 + x) + -7 = -3x + 8(x + -3) (-4 * 5 + x * 5) + -7 = -3x + 8(x + -3) (-20 + 5x) + -7 = -3x + 8(x + -3) Reorder the terms: -20 + -7 + 5x = -3x + 8(x + -3) Combine like terms: -20 + -7 = -27 -27 + 5x = -3x + 8(x + -3) Reorder the terms: -27 + 5x = -3x + 8(-3 + x) -27 + 5x = -3x + (-3 * 8 + x * 8) -27 + 5x = -3x + (-24 + 8x) Reorder the terms: -27 + 5x = -24 + -3x + 8x Combine like terms: -3x + 8x = 5x -27 + 5x = -24 + 5x Add '-5x' to each side of the equation. -27 + 5x + -5x = -24 + 5x + -5x Combine like terms: 5x + -5x = 0 -27 + 0 = -24 + 5x + -5x -27 = -24 + 5x + -5x Combine like terms: 5x + -5x = 0 -27 = -24 + 0 -27 = -24 Solving -27 = -24 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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