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Simplifying 6(x + 1.13) = 5x Reorder the terms: 6(1.13 + x) = 5x (1.13 * 6 + x * 6) = 5x (6.78 + 6x) = 5x Solving 6.78 + 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. 6.78 + 6x + -5x = 5x + -5x Combine like terms: 6x + -5x = 1x 6.78 + 1x = 5x + -5x Combine like terms: 5x + -5x = 0 6.78 + 1x = 0 Add '-6.78' to each side of the equation. 6.78 + -6.78 + 1x = 0 + -6.78 Combine like terms: 6.78 + -6.78 = 0.00 0.00 + 1x = 0 + -6.78 1x = 0 + -6.78 Combine like terms: 0 + -6.78 = -6.78 1x = -6.78 Divide each side by '1'. x = -6.78 Simplifying x = -6.78
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