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Simplifying 54(X + 1.5) + 20 = 30 + 65(X + 0.1) Reorder the terms: 54(1.5 + X) + 20 = 30 + 65(X + 0.1) (1.5 * 54 + X * 54) + 20 = 30 + 65(X + 0.1) (81 + 54X) + 20 = 30 + 65(X + 0.1) Reorder the terms: 81 + 20 + 54X = 30 + 65(X + 0.1) Combine like terms: 81 + 20 = 101 101 + 54X = 30 + 65(X + 0.1) Reorder the terms: 101 + 54X = 30 + 65(0.1 + X) 101 + 54X = 30 + (0.1 * 65 + X * 65) 101 + 54X = 30 + (6.5 + 65X) Combine like terms: 30 + 6.5 = 36.5 101 + 54X = 36.5 + 65X Solving 101 + 54X = 36.5 + 65X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-65X' to each side of the equation. 101 + 54X + -65X = 36.5 + 65X + -65X Combine like terms: 54X + -65X = -11X 101 + -11X = 36.5 + 65X + -65X Combine like terms: 65X + -65X = 0 101 + -11X = 36.5 + 0 101 + -11X = 36.5 Add '-101' to each side of the equation. 101 + -101 + -11X = 36.5 + -101 Combine like terms: 101 + -101 = 0 0 + -11X = 36.5 + -101 -11X = 36.5 + -101 Combine like terms: 36.5 + -101 = -64.5 -11X = -64.5 Divide each side by '-11'. X = 5.863636364 Simplifying X = 5.863636364
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