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Simplifying 4.5(8x + -6) + 2x = 32 Reorder the terms: 4.5(-6 + 8x) + 2x = 32 (-6 * 4.5 + 8x * 4.5) + 2x = 32 (-27 + 36x) + 2x = 32 Combine like terms: 36x + 2x = 38x -27 + 38x = 32 Solving -27 + 38x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 38x = 32 + 27 Combine like terms: -27 + 27 = 0 0 + 38x = 32 + 27 38x = 32 + 27 Combine like terms: 32 + 27 = 59 38x = 59 Divide each side by '38'. x = 1.552631579 Simplifying x = 1.552631579
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