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Simplifying 54 + 0.09x = 38 + 0.13x Solving 54 + 0.09x = 38 + 0.13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.13x' to each side of the equation. 54 + 0.09x + -0.13x = 38 + 0.13x + -0.13x Combine like terms: 0.09x + -0.13x = -0.04x 54 + -0.04x = 38 + 0.13x + -0.13x Combine like terms: 0.13x + -0.13x = 0.00 54 + -0.04x = 38 + 0.00 54 + -0.04x = 38 Add '-54' to each side of the equation. 54 + -54 + -0.04x = 38 + -54 Combine like terms: 54 + -54 = 0 0 + -0.04x = 38 + -54 -0.04x = 38 + -54 Combine like terms: 38 + -54 = -16 -0.04x = -16 Divide each side by '-0.04'. x = 400 Simplifying x = 400
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