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Simplifying 3x + 2(x + 4) = 5(x + 4) + -38 Reorder the terms: 3x + 2(4 + x) = 5(x + 4) + -38 3x + (4 * 2 + x * 2) = 5(x + 4) + -38 3x + (8 + 2x) = 5(x + 4) + -38 Reorder the terms: 8 + 3x + 2x = 5(x + 4) + -38 Combine like terms: 3x + 2x = 5x 8 + 5x = 5(x + 4) + -38 Reorder the terms: 8 + 5x = 5(4 + x) + -38 8 + 5x = (4 * 5 + x * 5) + -38 8 + 5x = (20 + 5x) + -38 Reorder the terms: 8 + 5x = 20 + -38 + 5x Combine like terms: 20 + -38 = -18 8 + 5x = -18 + 5x Add '-5x' to each side of the equation. 8 + 5x + -5x = -18 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 0 = -18 + 5x + -5x 8 = -18 + 5x + -5x Combine like terms: 5x + -5x = 0 8 = -18 + 0 8 = -18 Solving 8 = -18 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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