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Simplifying 37x + 0.5 + (x + 0.25) = 9(4x + -7) + 5 Reorder the terms: 37x + 0.5 + (0.25 + x) = 9(4x + -7) + 5 Remove parenthesis around (0.25 + x) 37x + 0.5 + 0.25 + x = 9(4x + -7) + 5 Reorder the terms: 0.5 + 0.25 + 37x + x = 9(4x + -7) + 5 Combine like terms: 0.5 + 0.25 = 0.75 0.75 + 37x + x = 9(4x + -7) + 5 Combine like terms: 37x + x = 38x 0.75 + 38x = 9(4x + -7) + 5 Reorder the terms: 0.75 + 38x = 9(-7 + 4x) + 5 0.75 + 38x = (-7 * 9 + 4x * 9) + 5 0.75 + 38x = (-63 + 36x) + 5 Reorder the terms: 0.75 + 38x = -63 + 5 + 36x Combine like terms: -63 + 5 = -58 0.75 + 38x = -58 + 36x Solving 0.75 + 38x = -58 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 0.75 + 38x + -36x = -58 + 36x + -36x Combine like terms: 38x + -36x = 2x 0.75 + 2x = -58 + 36x + -36x Combine like terms: 36x + -36x = 0 0.75 + 2x = -58 + 0 0.75 + 2x = -58 Add '-0.75' to each side of the equation. 0.75 + -0.75 + 2x = -58 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 2x = -58 + -0.75 2x = -58 + -0.75 Combine like terms: -58 + -0.75 = -58.75 2x = -58.75 Divide each side by '2'. x = -29.375 Simplifying x = -29.375
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