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Simplifying 6(x + 1.09) = 5x Reorder the terms: 6(1.09 + x) = 5x (1.09 * 6 + x * 6) = 5x (6.54 + 6x) = 5x Solving 6.54 + 6x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6.54 + 6x + -5x = 5x + -5x Combine like terms: 6x + -5x = 1x 6.54 + 1x = 5x + -5x Combine like terms: 5x + -5x = 0 6.54 + 1x = 0 Add '-6.54' to each side of the equation. 6.54 + -6.54 + 1x = 0 + -6.54 Combine like terms: 6.54 + -6.54 = 0.00 0.00 + 1x = 0 + -6.54 1x = 0 + -6.54 Combine like terms: 0 + -6.54 = -6.54 1x = -6.54 Divide each side by '1'. x = -6.54 Simplifying x = -6.54
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