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Simplifying 0.5(8x + 14) + 3 = 4(2 + x) + -0.5 Reorder the terms: 0.5(14 + 8x) + 3 = 4(2 + x) + -0.5 (14 * 0.5 + 8x * 0.5) + 3 = 4(2 + x) + -0.5 (7 + 4x) + 3 = 4(2 + x) + -0.5 Reorder the terms: 7 + 3 + 4x = 4(2 + x) + -0.5 Combine like terms: 7 + 3 = 10 10 + 4x = 4(2 + x) + -0.5 10 + 4x = (2 * 4 + x * 4) + -0.5 10 + 4x = (8 + 4x) + -0.5 Reorder the terms: 10 + 4x = 8 + -0.5 + 4x Combine like terms: 8 + -0.5 = 7.5 10 + 4x = 7.5 + 4x Add '-4x' to each side of the equation. 10 + 4x + -4x = 7.5 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + 0 = 7.5 + 4x + -4x 10 = 7.5 + 4x + -4x Combine like terms: 4x + -4x = 0 10 = 7.5 + 0 10 = 7.5 Solving 10 = 7.5 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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