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Simplifying 1.5 + 0.5(4x + 10) = 1.5x + 0.5x + 2 Reorder the terms: 1.5 + 0.5(10 + 4x) = 1.5x + 0.5x + 2 1.5 + (10 * 0.5 + 4x * 0.5) = 1.5x + 0.5x + 2 1.5 + (5 + 2x) = 1.5x + 0.5x + 2 Combine like terms: 1.5 + 5 = 6.5 6.5 + 2x = 1.5x + 0.5x + 2 Reorder the terms: 6.5 + 2x = 2 + 1.5x + 0.5x Combine like terms: 1.5x + 0.5x = 2x 6.5 + 2x = 2 + 2x Add '-2x' to each side of the equation. 6.5 + 2x + -2x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 6.5 + 0 = 2 + 2x + -2x 6.5 = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 6.5 = 2 + 0 6.5 = 2 Solving 6.5 = 2 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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