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Simplifying 3(x + 7) + -2 = 0.5(6x + 3) Reorder the terms: 3(7 + x) + -2 = 0.5(6x + 3) (7 * 3 + x * 3) + -2 = 0.5(6x + 3) (21 + 3x) + -2 = 0.5(6x + 3) Reorder the terms: 21 + -2 + 3x = 0.5(6x + 3) Combine like terms: 21 + -2 = 19 19 + 3x = 0.5(6x + 3) Reorder the terms: 19 + 3x = 0.5(3 + 6x) 19 + 3x = (3 * 0.5 + 6x * 0.5) 19 + 3x = (1.5 + 3x) Add '-3x' to each side of the equation. 19 + 3x + -3x = 1.5 + 3x + -3x Combine like terms: 3x + -3x = 0 19 + 0 = 1.5 + 3x + -3x 19 = 1.5 + 3x + -3x Combine like terms: 3x + -3x = 0 19 = 1.5 + 0 19 = 1.5 Solving 19 = 1.5 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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