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Simplifying 5.8x + 36 = 33.64 + 6x Reorder the terms: 36 + 5.8x = 33.64 + 6x Solving 36 + 5.8x = 33.64 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 36 + 5.8x + -6x = 33.64 + 6x + -6x Combine like terms: 5.8x + -6x = -0.2x 36 + -0.2x = 33.64 + 6x + -6x Combine like terms: 6x + -6x = 0 36 + -0.2x = 33.64 + 0 36 + -0.2x = 33.64 Add '-36' to each side of the equation. 36 + -36 + -0.2x = 33.64 + -36 Combine like terms: 36 + -36 = 0 0 + -0.2x = 33.64 + -36 -0.2x = 33.64 + -36 Combine like terms: 33.64 + -36 = -2.36 -0.2x = -2.36 Divide each side by '-0.2'. x = 11.8 Simplifying x = 11.8
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