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Simplifying 37x + 0.5 + -1[x + 0.25] = 9[4x + -7] + 5 Reorder the terms: 37x + 0.5 + -1[0.25 + x] = 9[4x + -7] + 5 37x + 0.5 + [0.25 * -1 + x * -1] = 9[4x + -7] + 5 37x + 0.5 + [-0.25 + -1x] = 9[4x + -7] + 5 Reorder the terms: 0.5 + -0.25 + 37x + -1x = 9[4x + -7] + 5 Combine like terms: 0.5 + -0.25 = 0.25 0.25 + 37x + -1x = 9[4x + -7] + 5 Combine like terms: 37x + -1x = 36x 0.25 + 36x = 9[4x + -7] + 5 Reorder the terms: 0.25 + 36x = 9[-7 + 4x] + 5 0.25 + 36x = [-7 * 9 + 4x * 9] + 5 0.25 + 36x = [-63 + 36x] + 5 Reorder the terms: 0.25 + 36x = -63 + 5 + 36x Combine like terms: -63 + 5 = -58 0.25 + 36x = -58 + 36x Add '-36x' to each side of the equation. 0.25 + 36x + -36x = -58 + 36x + -36x Combine like terms: 36x + -36x = 0 0.25 + 0 = -58 + 36x + -36x 0.25 = -58 + 36x + -36x Combine like terms: 36x + -36x = 0 0.25 = -58 + 0 0.25 = -58 Solving 0.25 = -58 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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