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Simplifying 0.5(4x + 6) + -8 = -3x + 5(x + -2) Reorder the terms: 0.5(6 + 4x) + -8 = -3x + 5(x + -2) (6 * 0.5 + 4x * 0.5) + -8 = -3x + 5(x + -2) (3 + 2x) + -8 = -3x + 5(x + -2) Reorder the terms: 3 + -8 + 2x = -3x + 5(x + -2) Combine like terms: 3 + -8 = -5 -5 + 2x = -3x + 5(x + -2) Reorder the terms: -5 + 2x = -3x + 5(-2 + x) -5 + 2x = -3x + (-2 * 5 + x * 5) -5 + 2x = -3x + (-10 + 5x) Reorder the terms: -5 + 2x = -10 + -3x + 5x Combine like terms: -3x + 5x = 2x -5 + 2x = -10 + 2x Add '-2x' to each side of the equation. -5 + 2x + -2x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 0 = -10 + 2x + -2x -5 = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 = -10 + 0 -5 = -10 Solving -5 = -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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