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Simplifying 0.69x + 32 = 1.09x Reorder the terms: 32 + 0.69x = 1.09x Solving 32 + 0.69x = 1.09x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.09x' to each side of the equation. 32 + 0.69x + -1.09x = 1.09x + -1.09x Combine like terms: 0.69x + -1.09x = -0.4x 32 + -0.4x = 1.09x + -1.09x Combine like terms: 1.09x + -1.09x = 0.00 32 + -0.4x = 0.00 Add '-32' to each side of the equation. 32 + -32 + -0.4x = 0.00 + -32 Combine like terms: 32 + -32 = 0 0 + -0.4x = 0.00 + -32 -0.4x = 0.00 + -32 Combine like terms: 0.00 + -32 = -32 -0.4x = -32 Divide each side by '-0.4'. x = 80 Simplifying x = 80
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