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Simplifying 5.3x + 36 = 28.09 + 6x Reorder the terms: 36 + 5.3x = 28.09 + 6x Solving 36 + 5.3x = 28.09 + 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 + 5.3x + -6x = 28.09 + 6x + -6x Combine like terms: 5.3x + -6x = -0.7x 36 + -0.7x = 28.09 + 6x + -6x Combine like terms: 6x + -6x = 0 36 + -0.7x = 28.09 + 0 36 + -0.7x = 28.09 Add '-36' to each side of the equation. 36 + -36 + -0.7x = 28.09 + -36 Combine like terms: 36 + -36 = 0 0 + -0.7x = 28.09 + -36 -0.7x = 28.09 + -36 Combine like terms: 28.09 + -36 = -7.91 -0.7x = -7.91 Divide each side by '-0.7'. x = 11.3 Simplifying x = 11.3
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