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Simplifying 2(x + 4) = 5(x + -3) + -3x Reorder the terms: 2(4 + x) = 5(x + -3) + -3x (4 * 2 + x * 2) = 5(x + -3) + -3x (8 + 2x) = 5(x + -3) + -3x Reorder the terms: 8 + 2x = 5(-3 + x) + -3x 8 + 2x = (-3 * 5 + x * 5) + -3x 8 + 2x = (-15 + 5x) + -3x Combine like terms: 5x + -3x = 2x 8 + 2x = -15 + 2x Add '-2x' to each side of the equation. 8 + 2x + -2x = -15 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 0 = -15 + 2x + -2x 8 = -15 + 2x + -2x Combine like terms: 2x + -2x = 0 8 = -15 + 0 8 = -15 Solving 8 = -15 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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