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Simplifying 3(0.5x + 7) + -1x + 3 = 0.5x + 6 Reorder the terms: 3(7 + 0.5x) + -1x + 3 = 0.5x + 6 (7 * 3 + 0.5x * 3) + -1x + 3 = 0.5x + 6 (21 + 1.5x) + -1x + 3 = 0.5x + 6 Reorder the terms: 21 + 3 + 1.5x + -1x = 0.5x + 6 Combine like terms: 21 + 3 = 24 24 + 1.5x + -1x = 0.5x + 6 Combine like terms: 1.5x + -1x = 0.5x 24 + 0.5x = 0.5x + 6 Reorder the terms: 24 + 0.5x = 6 + 0.5x Add '-0.5x' to each side of the equation. 24 + 0.5x + -0.5x = 6 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 24 + 0.0 = 6 + 0.5x + -0.5x 24 = 6 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 24 = 6 + 0.0 24 = 6 Solving 24 = 6 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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